Edit Profile (opens in new tab) Banakh, Taras Onufrievich Co-Author Distance Author ID: banakh.taras-o Published as: Banakh, Taras; Banakh, T. O.; Banakh, T.; Banakh, Taras O.; Banach, T. O.; Banakh, T. D. more...less Homepage: http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/bancv.html External Links: MGP · ORCID · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND Documents Indexed: 411 Publications since 1987, including 2 Books and 53 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 130 Reviews Co-Authors: 184 Co-Authors with 334 Joint Publications 2,416 Co-Co-Authors all top 5 Co-Authors 77 single-authored 35 Ravsky, Alex 24 Protasov, Igor Volodymyrovych 21 Repovš, Dušan D. 18 Banakh, Iryna 18 Gavrylkiv, Volodymyr M. 17 Bardyla, Serhii 15 Zdoms’kyĭ, Lyubomyr Sergiĭovych 11 Cauty, Robert 11 Hryniv, Olena 10 Gabriyelyan, Saak S. 10 Guran, Igor I. 10 Sakai, Katsuro 9 Zarichnyi, Michael Mikhailovich 8 Bokalo, Bogdan Mykhailovych 8 Gutik, Oleg Volodymyrovych 7 Plichko, Anatoliĭ Mykolaĭovych 7 Turek, Sławomir 6 Garbulińska-Węgrzyn, Joanna 6 Radul, Taras Mykolaovych 6 Yagasaki, Tatsuhiko 6 Zarichnyi, Ihor Mykhaylovych 5 Bartoszewicz, Artur 5 Bogachev, Vladimir Igorevich 5 Głąb, Szymon 5 Kolesnikov, Alexander V. 5 Maslyuchenko, Volodymyr Kyrylovych 5 Mine, Kotaro 5 Nowak, Magdalena 5 Stelmakh, Yaryna 5 Strobin, Filip 4 Chervak, Ostap 4 Jabłońska, Eliza 4 Kolinko, Maria 4 Kubiś, Wiesław 4 Leiderman, Arkady G. 4 Maslyuchenko, Oleksandr Volodymyrovych 4 Rałowski, Robert 4 Slobodianiuk, Sergii 4 Valov, Vesko M. 4 Wojcik, Michal Ryszard 4 Żeberski, Szymon 3 Dimitrova, Svetlana D. 3 Fedorchuk, Vitaly Vitalievich 3 Hetman, Ivan 3 Kąkol, Jerzy 3 Kolos, Nadiya 3 Kosztołowicz, Zdzisław 3 Lyaskovska, Nadya 3 Mykhaylyuk, Volodymyr V. 3 Nykyforchyn, Oleh R. 3 Szymonik, Emilia 3 Vorobets, Yaroslav 3 Vovk, Myroslava 3 Voytsytskyy, R. I. 3 Wang, Leijie 3 Zagorodnyuk, Andriy V. 2 Artemovych, Orest Dem”yanovych 2 Bazylevych, Lidiya 2 Bonnet, Robert 2 Cencelj, Matija 2 Drozd, Yuriĭ Anatoliĭovych 2 Filipczak, Małgorzata 2 Hanyushkin, O. H. 2 Karchevska, Lesia 2 Kucharski, Andrzej 2 Machura, Michal 2 Martynenko, Marta 2 Mildenberger, Heike 2 Morayne, Michał 2 Novosad, Natalia 2 Pastukhova, Iryna 2 Petravchuk, Anatolii P. 2 Petrichkovich, Vasil’ Mikhaĭlovich 2 Pikhurko, Oleg 2 Potyatynyk, Oles 2 Prykarpatsky, Anatoliy Karolevych 2 Sharyn, Sergii 2 Śliwa, Wiesław 2 Sushchans’kyĭ, Vitaliĭ Ivanovych 2 Trushchak, Kh. R. 2 Tuncali, Murat 2 Tymchatyn, Edward D. 2 Verbitskij, O. V. 2 Zators’kyĭ, Roman Andriĭovych 1 Bankston, Paul 1 Bartoš, Adam 1 Belegradek, Igor 1 Bessaga, Czeslaw 1 Bienias, Marek 1 Blass, Andreas Raphael 1 Bodnarchuk, Yuriĭ Viktorovych 1 Bondarenko, Vitalij M. 1 Brazas, Jeremy 1 Brian, William Rea 1 Brodsky, N. B. 1 Brydun, Viktoria 1 Cabello Sánchez, Javier 1 Cherevko, Igor M. 1 Chigogidze, Alex Ch. 1 Choban, Mitrofan Mihailovich ...and 85 more Co-Authors all top 5 Serials 67 Topology and its Applications 34 Matematychni Studiï 13 Colloquium Mathematicum 12 Commentationes Mathematicae Universitatis Carolinae 11 Algebra and Discrete Mathematics 9 Studia Mathematica 9 Topology Proceedings 8 Semigroup Forum 8 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 7 Carpathian Mathematical Publications 6 Mathematical Notes 6 Ukrainian Mathematical Journal 6 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Dissertationes Mathematicae 6 Visnyk L’vivs’kogo Universytetu. Seriya Mekhaniko-Matematychna 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Fundamenta Mathematicae 5 Bulletin of the Polish Academy of Sciences, Mathematics 5 Journal of Mathematical Sciences (New York) 5 Central European Journal of Mathematics 5 Topological Algebra and its Applications 5 European Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 International Journal of Algebra and Computation 4 Bukovyns’kyĭ Matematychnyĭ Zhurnal 3 Israel Journal of Mathematics 3 Real Analysis Exchange 3 Topology 3 Topological Methods in Nonlinear Analysis 2 Tsukuba Journal of Mathematics 2 Soviet Mathematics 2 Linear Algebra and its Applications 2 Archive for Mathematical Logic 2 The Electronic Journal of Combinatorics 2 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 2 Mathematical Studies Monograph Series 2 Banach Journal of Mathematical Analysis 2 Axioms 2 Journal of Fractal Geometry 1 Acta Universitatis Carolinae. Mathematica et Physica 1 American Mathematical Monthly 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Acta Scientiarum Mathematicarum 1 Algebra Universalis 1 Ars Combinatoria 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of Graph Theory 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Questions and Answers in General Topology 1 Forum Mathematicum 1 Science in China. Series A 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 Tatra Mountains Mathematical Publications 1 Set-Valued Analysis 1 Georgian Mathematical Journal 1 Fractals 1 Journal of Convex Analysis 1 Journal of Lie Theory 1 Serdica Mathematical Journal 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 U Sviti Matematyky 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Revista Matemática Complutense 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 The Quarterly Journal of Mathematics 1 Applied General Topology 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Groups, Geometry, and Dynamics 1 Asian-European Journal of Mathematics 1 Applied General Topology 1 Proceedings of the International Geometry Center 1 Annals of Functional Analysis 1 International Journal of Group Theory 1 Advances in Operator Theory all top 5 Fields 279 General topology (54-XX) 109 Topological groups, Lie groups (22-XX) 80 Functional analysis (46-XX) 65 Manifolds and cell complexes (57-XX) 62 Group theory and generalizations (20-XX) 42 Mathematical logic and foundations (03-XX) 37 Measure and integration (28-XX) 33 Combinatorics (05-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 Category theory; homological algebra (18-XX) 16 Algebraic topology (55-XX) 12 Convex and discrete geometry (52-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Real functions (26-XX) 9 Geometry (51-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 5 Abstract harmonic analysis (43-XX) 5 Operator theory (47-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 262 Publications have been cited 1,320 times in 739 Documents Cited by ▼ Year ▼ Ball structures and colorings of graphs and groups. Zbl 1147.05033 Protasov, I.; Banakh, T. 66 2003 Absorbing sets in infinite-dimensional manifolds. Zbl 1147.54322 Banakh, T.; Radul, T.; Zarichnyi, M. 40 1996 Each regular paratopological group is completely regular. Zbl 1358.54017 Banakh, Taras; Ravsky, Alex 34 2017 Contractive function systems, their attractors and metrization. Zbl 1360.28007 Banakh, Taras; Kubiś, Wiesław; Novosad, Natalia; Nowak, Magdalena; Strobin, Filip 26 2015 On the \(C_k\)-stable closure of the class of (separable) metrizable spaces. Zbl 1359.54013 Banakh, T.; Gabriyelyan, S. 25 2016 Oscillator topologies on a paratopological group and related number invariants. Zbl 1098.22004 Banakh, Taras; Ravsky, Olexandr 23 2002 \(\mathfrak{P}_0\)-spaces. Zbl 1331.54014 Banakh, Taras 22 2015 The topological structure of (homogeneous) spaces and groups with countable cs*-character. Zbl 1072.54003 Banakh, Taras; Zdomskyĭ, Lubomyr 21 2004 \(k^*\)-metrizable spaces and their applications. Zbl 1332.54180 Banakh, T. O.; Bogachev, V. I.; Kolesnikov, A. V. 20 2008 Topological and measure properties of some self-similar sets. Zbl 1362.28009 Banakh, Taras; Bartoszewicz, Artur; Filipczak, Małgorzata; Szymonik, Emilia 18 2015 Topology of spaces of probability measures. I: The functors \(P_{\tau}\) and \(\hat P\). Zbl 1023.28501 Banakh, T. O. 15 1995 Characterizing the Cantor bi-cube in asymptotic categories. Zbl 1246.54023 Banakh, Taras; Zarichnyi, Ihor 15 2011 On subgroups of saturated or totally bounded paratopological groups. Zbl 1061.22003 Banakh, Taras; Ravsky, Sasha 15 2003 Topological spaces with an \(\omega^{\omega}\)-base. Zbl 1470.54015 Banakh, Taras 15 2019 Algebraic and topological properties of some sets in \(\ell_1\). Zbl 1267.46034 Banakh, Taras; Bartoszewicz, Artur; Głąb, Szymon; Szymonik, Emilia 15 2012 On scatteredly continuous maps between topological spaces. Zbl 1196.54021 Banakh, Taras; Bokalo, Bogdan 13 2010 Characterizing chain-compact and chain-finite topological semilattices. Zbl 1416.54017 Banakh, Taras; Bardyla, Serhii 13 2019 The regularity of quotient paratopological groups. Zbl 1412.22005 Banakh, T.; Ravsky, A. 13 2018 Embedding the bicyclic semigroup into countably compact topological semigroups. Zbl 1217.22001 Banakh, Taras; Dimitrova, Svetlana; Gutik, Oleg 13 2010 A 1-dimensional Peano continuum which is not an IFS attractor. Zbl 1262.28001 Banakh, Taras; Nowak, Magdalena 13 2013 \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra. Zbl 1397.54036 Banakh, Taras; Leiderman, Arkady 13 2018 Algebra in the superextensions of twinic groups. Zbl 1225.22004 Banakh, Taras; Gavrylkiv, Volodymyr 12 2010 Locally minimal topological groups and their embeddings into products of \(o\)-bounded groups. Zbl 1049.54034 Banakh, Taras 12 2000 Zeros of quadratic functionals on non-separable spaces. Zbl 1066.46040 Banakh, T.; Plichko, A.; Zagorodnyuk, A. 12 2004 The strong Pytkeev property in topological spaces. Zbl 1376.54030 Banakh, Taras; Leiderman, Arkady 12 2017 Josefson-Nissenzweig property for \(C_p\)-spaces. Zbl 1437.46029 Banakh, T.; Kąkol, J.; Śliwa, W. 12 2019 Every \(2\)-dimensional Banach space has the Mazur-Ulam property. Zbl 1484.46017 Banakh, Taras 11 2022 Null-finite sets in topological groups and their applications. Zbl 1490.39032 Banakh, Taras; Jabłónska, Eliza 11 2019 Completeness and absolute \(H\)-closedness of topological semilattices. Zbl 1416.22005 Banakh, Taras; Bardyla, Serhii 11 2019 The coarse classification of countable Abelian groups. Zbl 1252.20039 Banakh, T.; Higes, J.; Zarichnyi, I. 11 2010 Metrizable quotients of \(C_p\)-spaces. Zbl 1454.46029 Banakh, Taras; Kąkol, Jerzy; Śliwa, Wiesław 11 2018 Topology of spaces of probability measures. II: Barycenters of Radon probability measures and the metrization of the functors \(P_{\tau}\) and \(\hat P\). Zbl 1023.28502 Banakh, T. O. 10 1995 (Metrically) quarter-stratifiable spaces and their applications to the theory of separately continuous functions. Zbl 1023.54023 Banakh, T. O. 10 2002 General position properties in fiberwise geometric topology. Zbl 1301.57019 Banakh, Taras; Valov, Vesko 10 2013 Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025 Banakh, Taras; Protasov, Igor 10 2019 On continuous self-maps and homeomorphisms of the Golomb space. Zbl 1474.54066 Banakh, Taras; Mioduszewski, Jerzy; Turek, Sławomir 10 2018 Topological groups and convex sets homeomorphic to non-separable Hilbert spaces. Zbl 1202.57023 Banakh, Taras; Zarichnyy, Igor 9 2008 On topological groups containing a Fréchet-Urysohn fan. Zbl 0941.22002 Banakh, T. 9 1998 Algebra in superextensions of groups. I: Zeros and commutativity. Zbl 1164.22302 Banakh, T.; Gavrylkiv, V.; Nykyforchyn, O. 9 2008 Algebraically determined topologies on permutation groups. Zbl 1277.20006 Banakh, Taras; Guran, Igor; Protasov, Igor 9 2012 On critical cardinalities related to \(Q\)-sets. Zbl 1324.03015 Banakh, T.; Machura, M.; Zdomskyy, L. 9 2014 On the submetrizability number and \(i\)-weight of quasi-uniform spaces and paratopological groups. Zbl 1335.54036 Banakh, Taras; Ravsky, Alex 9 2016 The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices. Zbl 1468.22013 Banakh, Taras; Bardyla, Serhii; Ravsky, Alex 9 2019 Categorically closed topological groups. Zbl 1422.22008 Banakh, Taras 9 2017 Algebra in superextensions of groups: minimal left ideals. Zbl 1199.22005 Banakh, T. O.; Gavrylkiv, V. 8 2009 Selection principles and infinite games on multicovered spaces. Zbl 1161.54010 Banakh, Taras; Zdomskyy, Lyubomyr 8 2006 The coherence of semifilters: a survey. With an appendix by Heike Mildenberger. Zbl 1162.03026 Banakh, Taras; Zdomskyy, Lyubomyr 8 2006 Detecting topological and Banach fractals among zero-dimensional spaces. Zbl 1332.28010 Banakh, Taras; Nowak, Magdalena; Strobin, Filip 8 2015 On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019 Banakh, T.; Gabriyelyan, S.; Protasov, I. 8 2016 Embedding topological spaces into Hausdorff \(\kappa\)-bounded spaces. Zbl 1448.54013 Banakh, Taras; Bardyla, Serhii; Ravsky, Alex 8 2020 Haar-\(\mathcal{I}\) sets: looking at small sets in Polish groups through compact glasses. Zbl 1503.54023 Banakh, Taras; Głąb, Szymon; Jabłońska, Eliza; Swaczyna, Jarosław 8 2021 The number of near-coherence classes of ultrafilters is either finite or \(2^{\mathfrak c}\). Zbl 1182.03076 Banakh, Taras; Blass, Andreas 7 2006 Controlled Hahn–Mazurkiewicz Theorem and some new dimension functions of Peano continua. Zbl 1140.54015 Banakh, T.; Tuncali, M. 7 2007 Completeness of invariant ideals in groups. Zbl 1240.22001 Banakh, T.; Lyaskovska, N. 7 2010 Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold. Zbl 0967.57021 Banakh, Taras 7 1998 The Rees-Suschkewitsch theorem for simple topological semigroups. Zbl 1199.22004 Banakh, T. O.; Dimitrova, S.; Gutik, O. V. 7 2009 Algebra in superextensions of groups. II: Cancellativity and centers. Zbl 1199.22006 Banakh, Taras; Gavrylkiv, Volodymyr 7 2008 The interplay between weak topologies on topological semilattices. Zbl 1414.22009 Banakh, Taras; Bardyla, Serhii 7 2019 Scattered subsets of groups. Zbl 1359.20027 Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V. 7 2015 Approximation by light maps and parametric Lelek maps. Zbl 1223.54047 Banakh, Taras; Valov, Vesko 7 2010 Openly factorizable spaces and compact extensions of topological semigroups. Zbl 1224.54043 Banakh, T.; Dimitrova, S. 6 2010 Uniform Eberlein compactifications of metrizable spaces. Zbl 1257.54028 Banakh, Taras; Leiderman, Arkady 6 2012 \(o\)-boundedness of free topological groups. Zbl 1184.54033 Banakh, Taras; Repovš, Dušan; Zdomskyy, Lyubomyr 6 2010 Verbal covering properties of topological spaces. Zbl 1338.54032 Banakh, Taras; Ravsky, Alex 6 2016 On thin-complete ideals of subsets of groups. Zbl 1278.20044 Banakh, T.; Lyaskovska, N. 6 2011 Every non-smooth 2-dimensional Banach space has the Mazur-Ulam property. Zbl 1476.46008 Banakh, Taras; Cabello Sánchez, Javier 6 2021 On images of complete topologized subsemilattices in sequential semitopological semilattices. Zbl 1475.22007 Banakh, Taras; Bardyla, Serhii 6 2020 Complete topologized posets and semilattices. Zbl 07410240 Banakh, Taras; Bardyla, Serhii 6 2021 Algebra in superextensions of semilattices. Zbl 1306.06003 Banakh, Taras; Gavrylkiv, Volodoymyr 6 2012 Algebra in superextensions of inverse semigroups. Zbl 1271.20071 Banakh, Taras; Gavrylkiv, Volodymyr 6 2012 Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020 Banakh, Taras; Protasov, Igor; Sipacheva, Olga 6 2014 Weakly P-small not P-small subsets in groups. Zbl 1190.20036 Banakh, Taras; Lyaskovska, Nadia 5 2008 Characterizing meager paratopological groups. Zbl 1216.22003 Banakh, Taras; Guran, Igor; Ravsky, Alex 5 2011 Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology. Zbl 1188.22001 Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko 5 2011 Characterizations of \((\mathbb{R}^{\infty}, \sigma)\)- or \((Q^{\infty}, \Sigma)\)-manifolds and their applications. Zbl 0962.57014 Banakh, Taras; Sakai, Katsuro 5 2000 Direct limit topologies in the categories of topological groups and of uniform spaces. Zbl 1241.22002 Banakh, Taras; Repovš, Dušan 5 2012 Topological structure of direct limits in the category of uniform spaces. Zbl 1189.54022 Banakh, Taras; Repovš, Dušan 5 2010 Topology of spaces of probability measures. Zbl 0893.28004 Banakh, T. O.; Radul, T. N. 5 1997 Topologies on groups determined by sequences: Answers to several questions of I. Protasov and E. Zelenyuk. Zbl 0980.22003 Banakh, T. O. 5 2001 Cardinal characteristics of the ideal of Haar null sets. Zbl 1098.03057 Banakh, Taras 5 2004 Separation properties between the \(\sigma \)-compactness and Hurewicz property. Zbl 1154.54011 Banakh, Taras; Zdomskyy, Lyubomyr 5 2008 \(F\)-Dugundji spaces, \(F\)-Milutin spaces and absolute \(F\)-valued retracts. Zbl 1304.54036 Banakh, Taras; Radul, Taras 5 2015 Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015 Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S. 5 2017 The continuity of additive and convex functions which are upper bounded on non-flat continua in \(\mathbb R^n\). Zbl 1428.26022 Banakh, Taras; Jabłońska, Eliza; Jabłoński, Wojciech 5 2019 Baire category properties of function spaces with the Fell hypograph topology. Zbl 1436.54015 Wang, Leijie; Banakh, Taras 5 2019 On feebly compact paratopological groups. Zbl 1468.22003 Banakh, Taras; Ravsky, Alex 5 2020 Detecting topological groups which are (locally) homeomorphic to LF-spaces. Zbl 1284.57024 Banakh, T.; Mine, K.; Repovš, D.; Sakai, K.; Yagasaki, T. 5 2013 Packing index of subsets in Polish groups. Zbl 1203.03066 Banakh, Taras; Lyaskovska, Nadya; Repovš, Dušan 5 2009 Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear. Zbl 1476.46007 Banakh, Taras 5 2021 Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts. Zbl 1125.54006 Banakh, T.; Voytsitskyy, R. 4 2007 On linear operators extending [pseudo] metrics. Zbl 0948.54021 Banakh, Taras; Bessaga, Czesław 4 2000 Interplay between strongly universal spaces and pairs. Zbl 0954.57007 Banakh, Taras; Cauty, Robert 4 2000 \(AE(0)\)-spaces and regular operators extending (averaging) pseudometrics. Zbl 0827.54010 Banakh, Taras 4 1994 A topological characterization of \(LF\)-spaces. Zbl 1241.57028 Banakh, Taras; Repovš, Dušan 4 2012 Some properties of the linear hull of the Erdős set in \(l^2\). Zbl 0947.57026 Banakh, Taras 4 1999 On continuous extension of uniformly continuous functions and metrics. Zbl 1172.54010 Banakh, T.; Brodskiy, N.; Stasyuk, I.; Tymchatyn, E. D. 4 2009 Asymptotic dimension and small subsets in locally compact topological groups. Zbl 1302.54068 Banakh, Taras; Chervak, Ostap; Lyaskovska, Nadya 4 2014 Erratum to “Algebraic and topological properties of some sets in \(\ell _1\)”. Zbl 1317.46013 Banakh, Taras; Bartoszewicz, Artur; Głąb, Szymon; Szymonik, Emilia 4 2014 On structure of the semigroups of \(k\)-linked upfamilies on groups. Zbl 1378.20057 Banakh, Taras O.; Gavrylkiv, Volodymyr M. 4 2017 Micro and macro fractals generated by multi-valued dynamical systems. Zbl 1306.28003 Banakh, T.; Novosad, N. 4 2014 Categorically closed countable semigroups. Zbl 1527.22003 Banakh, Taras; Bardyla, Serhii 3 2023 \(Q\)-spaces, perfect spaces and related cardinal characteristics of the continuum. Zbl 1523.54006 Banakh, Taras; Bazylevych, Lidiya 1 2023 Small uncountable cardinals in large-scale topology. Zbl 07628719 Banakh, Taras 1 2023 Locally convex spaces with the strong Gelfand-Phillips property. Zbl 1507.46001 Banakh, Taras; Gabriyelyan, Saak 1 2023 Every \(2\)-dimensional Banach space has the Mazur-Ulam property. Zbl 1484.46017 Banakh, Taras 11 2022 Banach spaces with the (strong) Gelfand-Phillips property. Zbl 1493.46011 Banakh, T.; Gabriyelyan, S. 4 2022 Characterizing categorically closed commutative semigroups. Zbl 1481.18003 Banakh, Taras; Bardyla, Serhii 2 2022 \(\omega^{\omega}\)-base and infinite-dimensional compact sets in locally convex spaces. Zbl 1500.46006 Banakh, Taras; Kąkol, Jerzy; Schürz, Johannes Philipp 1 2022 A universal coregular countable second-countable space. Zbl 1496.54019 Banakh, Taras; Stelmakh, Yaryna 1 2022 On the asymptotic dimension of products of coarse spaces. Zbl 07506878 Banakh, Iryna; Banakh, Taras 1 2022 Haar-\(\mathcal{I}\) sets: looking at small sets in Polish groups through compact glasses. Zbl 1503.54023 Banakh, Taras; Głąb, Szymon; Jabłońska, Eliza; Swaczyna, Jarosław 8 2021 Every non-smooth 2-dimensional Banach space has the Mazur-Ulam property. Zbl 1476.46008 Banakh, Taras; Cabello Sánchez, Javier 6 2021 Complete topologized posets and semilattices. Zbl 07410240 Banakh, Taras; Bardyla, Serhii 6 2021 Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear. Zbl 1476.46007 Banakh, Taras 5 2021 The Golomb space is topologically rigid. Zbl 07442496 Banakh, Taras; Spirito, Dario; Turek, Sławomir 4 2021 The Kirch space is topologically rigid. Zbl 1479.54043 Banakh, Taras; Stelmakh, Yaryna; Turek, Sławomir 3 2021 The Lawson number of a semitopological semilattice. Zbl 1511.22004 Banakh, Taras; Bardyla, Serhii; Gutik, Oleg 3 2021 Selection properties of the split interval and the Continuum hypothesis. Zbl 1479.54042 Banakh, Taras 2 2021 Locally convex properties of Baire type function spaces. Zbl 1484.46003 Banakh, Taras; Gabriyelyan, Saak 2 2021 Weak completions of paratopological groups. Zbl 1497.22005 Banakh, Taras; Tkachenko, Mikhail 1 2021 On \(\kappa \)-bounded and \(M\)-compact reflections of topological spaces. Zbl 1461.54033 Banakh, Taras 1 2021 On Baire category properties of function spaces \(C'_k(X, Y)\). Zbl 1465.54013 Banakh, Taras; Wang, Leijie 1 2021 The connected countable spaces of Bing and Ritter are topologically homogeneous. Zbl 1453.54006 Banakh, Iryna; Banakh, Taras; Hryniv, Olena; Stelmakh, Yaryna 1 2021 The completion of the hyperspace of finite subsets, endowed with the \(\ell^1\)-metric. Zbl 1487.54019 Banakh, Iryna; Banakh, Taras; Garbulińska-Węgrzyn, Joanna 1 2021 \(E\)-separated semigroups. Zbl 1524.20054 Banakh, Taras 1 2021 Bases in finite groups of small order. Zbl 1468.05019 Banakh, T. O.; Gavrylkiv, V. M. 1 2021 Embedding topological spaces into Hausdorff \(\kappa\)-bounded spaces. Zbl 1448.54013 Banakh, Taras; Bardyla, Serhii; Ravsky, Alex 8 2020 On images of complete topologized subsemilattices in sequential semitopological semilattices. Zbl 1475.22007 Banakh, Taras; Bardyla, Serhii 6 2020 On feebly compact paratopological groups. Zbl 1468.22003 Banakh, Taras; Ravsky, Alex 5 2020 A metrizable semitopological semilattice with non-closed partial order. Zbl 1442.22004 Banakh, Taras; Bardyla, Serhii; Ravsky, Alex 4 2020 A quantitative generalization of Prodanov-Stoyanov theorem on minimal abelian topological groups. Zbl 1435.22002 Banakh, Taras 4 2020 Baire category properties of some Baire type function spaces. Zbl 1442.54013 Banakh, T.; Gabriyelyan, S. 4 2020 Scattered compact sets in continuous images of Čech-complete spaces. Zbl 1464.54022 Banakh, Taras; Bokalo, Bogdan; Tkachuk, Vladimir 3 2020 Positive answers to Koch’s problem in special cases. Zbl 1441.22003 Banakh, Taras; Bardyla, Serhii; Guran, Igor; Gutik, Oleg; Ravsky, Alex 3 2020 Constructing a coarse space with a given Higson or binary corona. Zbl 1459.54016 Banakh, Taras; Protasov, Igor 2 2020 Returning functions with closed graph are continuous. Zbl 1505.26007 Banakh, Taras; Filipczak, Małgorzata; Wódka, Julia 2 2020 A metrizable Lawson semitopological semilattice with non-closed partial order. Zbl 1484.22003 Banakh, Taras; Bardyla, Serhii; Ravsky, Alex 2 2020 The continuity of Darboux injections between manifolds. Zbl 1436.54022 Banakh, Iryna; Banakh, Taras 2 2020 Minmax bornologies. Zbl 1485.54017 Banakh, Taras; Protasov, Igor 1 2020 Linearly continuous functions and \(F_\sigma\)-measurability. Zbl 1479.26003 Banakh, Taras; Maslyuchenko, Oleksandr 1 2020 Topological spaces with an \(\omega^{\omega}\)-base. Zbl 1470.54015 Banakh, Taras 15 2019 Characterizing chain-compact and chain-finite topological semilattices. Zbl 1416.54017 Banakh, Taras; Bardyla, Serhii 13 2019 Josefson-Nissenzweig property for \(C_p\)-spaces. Zbl 1437.46029 Banakh, T.; Kąkol, J.; Śliwa, W. 12 2019 Null-finite sets in topological groups and their applications. Zbl 1490.39032 Banakh, Taras; Jabłónska, Eliza 11 2019 Completeness and absolute \(H\)-closedness of topological semilattices. Zbl 1416.22005 Banakh, Taras; Bardyla, Serhii 11 2019 Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025 Banakh, Taras; Protasov, Igor 10 2019 The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices. Zbl 1468.22013 Banakh, Taras; Bardyla, Serhii; Ravsky, Alex 9 2019 The interplay between weak topologies on topological semilattices. Zbl 1414.22009 Banakh, Taras; Bardyla, Serhii 7 2019 The continuity of additive and convex functions which are upper bounded on non-flat continua in \(\mathbb R^n\). Zbl 1428.26022 Banakh, Taras; Jabłońska, Eliza; Jabłoński, Wojciech 5 2019 Baire category properties of function spaces with the Fell hypograph topology. Zbl 1436.54015 Wang, Leijie; Banakh, Taras 5 2019 Constructing balleans. Zbl 1432.54024 Banakh, Taras O.; Protasov, Igor 3 2019 Difference bases in cyclic groups. Zbl 1414.05055 Banakh, Taras O.; Gavrylkiv, Volodymyr M. 3 2019 A universal Banach space with a \(K\)-unconditional basis. Zbl 1423.46012 Banakh, Taras; Garbulińska-Wȩgrzyn, Joanna 2 2019 Ergodic deformations of nonlinear Hamilton systems and local homeomorphism of metric spaces. Zbl 1429.37033 Banakh, Taras O.; Prykarpatsky, Anatoliĭ K. 1 2019 Minimal covers of infinite hypergraphs. Zbl 1419.05156 Banakh, Taras; van der Zypen, Dominic 1 2019 Difference bases in finite abelian groups. Zbl 1449.05034 Banakh, Taras; Gavrylkiv, Volodymyr 1 2019 Difference bases in dihedral groups. Zbl 1443.05025 Banakh, Taras O.; Gavrylkiv, Volodymyr 1 2019 The regularity of quotient paratopological groups. Zbl 1412.22005 Banakh, T.; Ravsky, A. 13 2018 \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra. Zbl 1397.54036 Banakh, Taras; Leiderman, Arkady 13 2018 Metrizable quotients of \(C_p\)-spaces. Zbl 1454.46029 Banakh, Taras; Kąkol, Jerzy; Śliwa, Wiesław 11 2018 On continuous self-maps and homeomorphisms of the Golomb space. Zbl 1474.54066 Banakh, Taras; Mioduszewski, Jerzy; Turek, Sławomir 10 2018 Quasicontinuous functions with values in Piotrowski spaces. Zbl 1400.54030 Banakh, Taras 4 2018 Spaces of nonnegatively curved surfaces. Zbl 1396.53059 Banakh, Taras; Belegradek, Igor 4 2018 The universal Banach space with a \(K\)-suppression unconditional basis. Zbl 1463.46017 Banakh, Taras; Garbulińska-Węgrzyn, Joanna 3 2018 Kuratowski monoids of \(n\)-topological spaces. Zbl 1398.54003 Banakh, Taras; Chervak, Ostap; Martynyuk, Tetyana; Pylypovych, Maksym; Ravsky, Alex; Simkiv, Markiyan 2 2018 Each regular paratopological group is completely regular. Zbl 1358.54017 Banakh, Taras; Ravsky, Alex 34 2017 The strong Pytkeev property in topological spaces. Zbl 1376.54030 Banakh, Taras; Leiderman, Arkady 12 2017 Categorically closed topological groups. Zbl 1422.22008 Banakh, Taras 9 2017 Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015 Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S. 5 2017 On structure of the semigroups of \(k\)-linked upfamilies on groups. Zbl 1378.20057 Banakh, Taras O.; Gavrylkiv, Volodymyr M. 4 2017 Sequential rectifiable spaces of countable \(\mathrm {cs}^*\)-character. Zbl 1421.54019 Banakh, Taras; Repovš, Dušan 4 2017 Quasicontinuous and separately continuous functions with values in Maslyuchenko spaces. Zbl 1376.54016 Banakh, Taras 4 2017 An example of a non-Borel locally-connected finite-dimensional topological group. Zbl 1372.22001 Banakh, I.; Banakh, T.; Vovk, M. 2 2017 Weakly discontinuous and resolvable functions between topological spaces. Zbl 1369.54010 Banakh, Taras; Bokalo, Bogdan 2 2017 Strongly \(\sigma\)-metrizable spaces are super \(\sigma\)-metrizable. Zbl 1374.54031 Banakh, I. Ya.; Banakh, T. O. 2 2017 A Lefschetz-Hopf theorem for functions with compact iterates. (Un théorème de Lefschetz-Hopf pour les fonctions à itérées compactes.) Zbl 1375.54017 Cauty, Robert 2 2017 The \(C_p\)-stable closure of the class of separable metrizable spaces. Zbl 1373.54025 Banakh, Taras; Gabriyelyan, Saak 2 2017 Automorphism groups of superextensions of groups. Zbl 1515.20115 Banakh, T. O.; Gavrylkiv, V. M. 2 2017 Ramsey-product subsets of a group. Zbl 1410.05215 Banakh, T.; Protasov, I.; Protasova, K. 1 2017 Continuity points of separately continuous functions with values in \(\aleph_0\)-spaces. Zbl 1399.54039 Banakh, Taras 1 2017 On the \(C_k\)-stable closure of the class of (separable) metrizable spaces. Zbl 1359.54013 Banakh, T.; Gabriyelyan, S. 25 2016 On the submetrizability number and \(i\)-weight of quasi-uniform spaces and paratopological groups. Zbl 1335.54036 Banakh, Taras; Ravsky, Alex 9 2016 On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019 Banakh, T.; Gabriyelyan, S.; Protasov, I. 8 2016 Verbal covering properties of topological spaces. Zbl 1338.54032 Banakh, Taras; Ravsky, Alex 6 2016 Cardinal invariants distinguishing permutation groups. Zbl 1426.03030 Banakh, Taras; Mildenberger, Heike 3 2016 Manifolds admitting a continuous cancellative binary operation are orientable. Zbl 1354.22003 Banakh, Taras; Guran, Igor; Ravsky, Alex 1 2016 Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids. Zbl 1337.54012 Banakh, Taras; Ravsky, Alex 1 2016 Classifying invariant \(\sigma\)-ideals with analytic base on good Cantor measure spaces. Zbl 1528.03195 Banakh, Taras; Rałowski, Robert; Żeberski, Szymon 1 2016 On partitions of \(G\)-spaces and \(G\)-lattices. Zbl 1335.05207 Banakh, Taras; Ravsky, Oleksandr; Slobodianiuk, Sergiy 1 2016 Classifying homogeneous ultrametric spaces up to coarse equivalence. Zbl 1354.54025 Banakh, Taras; Repovš, Dušan 1 2016 Contractive function systems, their attractors and metrization. Zbl 1360.28007 Banakh, Taras; Kubiś, Wiesław; Novosad, Natalia; Nowak, Magdalena; Strobin, Filip 26 2015 \(\mathfrak{P}_0\)-spaces. Zbl 1331.54014 Banakh, Taras 22 2015 Topological and measure properties of some self-similar sets. Zbl 1362.28009 Banakh, Taras; Bartoszewicz, Artur; Filipczak, Małgorzata; Szymonik, Emilia 18 2015 Detecting topological and Banach fractals among zero-dimensional spaces. Zbl 1332.28010 Banakh, Taras; Nowak, Magdalena; Strobin, Filip 8 2015 Scattered subsets of groups. Zbl 1359.20027 Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V. 7 2015 \(F\)-Dugundji spaces, \(F\)-Milutin spaces and absolute \(F\)-valued retracts. Zbl 1304.54036 Banakh, Taras; Radul, Taras 5 2015 Non-meager free sets for meager relations on Polish spaces. Zbl 1343.03039 Banakh, Taras; Zdomskyy, Lyubomyr 4 2015 Diffeomorphism groups of non-compact manifolds endowed with the Whitney \(C^\infty\)-topology. Zbl 1302.58003 Banakh, Taras; Yagasaki, Tatsuhiko 3 2015 Topologically invariant \(\sigma\)-ideals on the Hilbert cube. Zbl 1343.03038 Banakh, Taras; Morayne, Michał; Rałowski, Robert; Żeberski, Szymon 2 2015 Topologically invariant \(\sigma \)-ideals on Euclidean spaces. Zbl 1342.57017 Banakh, T.; Morayne, M.; Rałowski, R.; Żeberski, Sz. 2 2015 ...and 162 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 566 Authors 138 Banakh, Taras Onufrievich 51 Protasov, Igor Volodymyrovych 34 Gabriyelyan, Saak S. 27 Kąkol, Jerzy 27 Lin, Shou 23 Bardyla, Serhii 23 Tkachenko, Mikhail Gelievich 20 Ravsky, Alex 20 Repovš, Dušan D. 17 Dikranjan, Dikran N. 17 Zdoms’kyĭ, Lyubomyr Sergiĭovych 15 Gutik, Oleg Volodymyrovych 14 Lin, Fucai 14 Sánchez, Iván 14 Valov, Vesko M. 12 Bartoszewicz, Artur 12 Strobin, Filip 11 Głąb, Szymon 11 Liu, Chuan 11 Mykhaylyuk, Volodymyr V. 11 Zava, Nicolò 10 He, Wei 10 Leiderman, Arkady G. 10 Sakai, Katsuro 10 Xie, Lihong 9 Filipczak, Małgorzata 9 Gavrylkiv, Volodymyr M. 9 Jabłońska, Eliza 9 Karlova, Olena O. 9 Protasova, Ksenia D. 9 Tsaban, Boaz 9 Yang, Zhongqiang 8 Marchwicki, Jacek 8 Nowak, Magdalena 8 Radul, Taras Mykolaovych 7 Ferrando, Juan Carlos 7 Ling, Xuewei 7 Sanchis, Manuel 7 Yagasaki, Tatsuhiko 7 Zarichnyi, Michael Mikhailovich 6 Elekes, Márton 6 Ferrer, Jesús 6 Koshino, Katsuhisa 5 Bokalo, Bogdan Mykhailovych 5 Cai, Zhangyong Cai 5 Kubiś, Wiesław 5 Leśniak, Krzysztof 5 Li, Piyu 5 Mildenberger, Heike 5 Mine, Kotaro 5 Seoane-Sepúlveda, Juan Benigno 5 Yang, Hanbiao 4 Belegradek, Igor 4 Chandra, Debraj 4 Das, Pratulananda 4 Fedorchuk, Vitaly Vitalievich 4 Jabłoński, Wojciech 4 Kočinac, Ljubiša D. R. 4 Krupski, Paweł 4 Liu, Xin 4 Megrelishvili, Michael G. 4 Miculescu, Radu 4 Mihail, Alexandru 4 Ostaszewski, Adam J. 4 Peng, Dekui 4 Peralta, Antonio M. 4 Rypka, Miroslav 4 Śliwa, Wiesław 4 Soukup, Lajos 4 Tymchatyn, Edward D. 4 Wang, Leijie 4 Xi, Wenfei 4 Xiao, Zhiqiang 3 Andres, Jan 3 Banakh, Iryna 3 Bao, Meng 3 Bazylevych, Lidiya 3 Bingham, Nicholas Hugh 3 Bogachev, Vladimir Igorevich 3 Cabello Sánchez, Javier 3 Cueto-Avellaneda, María 3 D’Aniello, Emma 3 Feng, Ziqin 3 Guran, Igor I. 3 Gutev, Valentin Goutev 3 Jin, Yingying 3 Juhász, István 3 Karassev, Alexandre 3 Kuhlmann, Katarzyna 3 Künzi, Hans-Peter A. 3 Li, Jian 3 Machura, Michal 3 Maślanka, Łukasz 3 Medini, Andrea 3 Medvedev, Sergey V. 3 Miura, Takeshi 3 Nagy, Donát 3 Niemiec, Piotr 3 Nikodem, Kazimierz 3 Pastukhova, Iryna ...and 466 more Authors all top 5 Cited in 145 Serials 254 Topology and its Applications 35 Journal of Mathematical Analysis and Applications 25 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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RACSAM 19 Proceedings of the American Mathematical Society 19 Journal of Mathematical Sciences (New York) 14 Ukrainian Mathematical Journal 14 Carpathian Mathematical Publications 14 Topological Algebra and its Applications 13 Central European Journal of Mathematics 12 European Journal of Mathematics 11 Results in Mathematics 11 Applied General Topology 10 Israel Journal of Mathematics 10 Semigroup Forum 10 Topology Proceedings 9 Quaestiones Mathematicae 9 Matematychni Studiï 8 Fundamenta Mathematicae 8 Monatshefte für Mathematik 7 Topological Methods in Nonlinear Analysis 6 Studia Mathematica 5 Fuzzy Sets and Systems 5 Journal of the Mathematical Society of Japan 5 Journal of Pure and Applied Algebra 5 Acta Mathematica Hungarica 5 Algebra and Discrete Mathematics 4 Chaos, Solitons and Fractals 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 4 Linear Algebra and its Applications 4 Filomat 4 Banach Journal of Mathematical Analysis 4 Proceedings of the International Geometry Center 4 Axioms 4 Open Mathematics 3 Mathematical Notes 3 Nonlinearity 3 International Journal of Algebra and Computation 3 Archive for Mathematical Logic 3 Bulletin of the Malaysian Mathematical Sciences Society. 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Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Real Analysis Exchange ...and 45 more Serials all top 5 Cited in 42 Fields 536 General topology (54-XX) 200 Topological groups, Lie groups (22-XX) 128 Functional analysis (46-XX) 88 Measure and integration (28-XX) 75 Group theory and generalizations (20-XX) 74 Mathematical logic and foundations (03-XX) 57 Manifolds and cell complexes (57-XX) 38 Real functions (26-XX) 28 Dynamical systems and ergodic theory (37-XX) 26 Category theory; homological algebra (18-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 24 Number theory (11-XX) 23 Operator theory (47-XX) 22 Combinatorics (05-XX) 20 Sequences, series, summability (40-XX) 15 Abstract harmonic analysis (43-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Geometry (51-XX) 13 Algebraic topology (55-XX) 12 Convex and discrete geometry (52-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Difference and functional equations (39-XX) 9 Probability theory and stochastic processes (60-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Differential geometry (53-XX) 5 General algebraic systems (08-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year