Edit Profile (opens in new tab) Protasov, Igor Volodymyrovych Co-Author Distance Author ID: protasov.igor-v Published as: Protasov, I. V.; Protasov, Igor; Protasov, Igor V.; Protasov, I.; Protasov, Igor Volodymyrovych; Protasov, Ihor more...less Homepage: http://csc.knu.ua/en/person/protasov External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 269 Publications since 1976, including 6 Books and 7 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 72 Reviews Co-Authors: 68 Co-Authors with 125 Joint Publications 1,318 Co-Co-Authors all top 5 Co-Authors 133 single-authored 24 Banakh, Taras Onufrievich 15 Protasova, Ksenia D. 12 Slobodianiuk, Sergii 8 Zelenyuk, Yevhen G. 5 Charin, V. S. 5 Dikranjan, Dikran N. 5 Filali, Mahmoud 5 Lutsenko, Ie. 4 Protasova, Olga I. 4 Slobodianiuk, Serhii 4 Strauss, Dona 4 Tsybenko, Yu. V. 3 Hindman, Neil 3 Komarov, Yu. A. 3 Petrenko, O. V. 3 Petrenko, Oleksandr 2 Charyev, A. 2 Guran, Igor I. 2 Mukhin, Yurii N. 2 Protasova, Ksenya D. 2 Pym, John S. 2 Saryev, A. 2 Sidorchuk, A. D. 2 Slobodianiuk, S. V. 2 Zarichnyi, Michael Mikhailovich 2 Zava, Nicolò 1 Alas, Ofelia Teresa 1 Artemovych, Orest Dem”yanovych 1 Bergelson, Vitaly 1 Bezushchak, Oksana O. 1 Blass, Andreas Raphael 1 Bondarenko, Vitalij M. 1 Choban, Mitrofan Mihailovich 1 Comfort, William Wistar 1 Fish, Alexander 1 Gabriyelyan, Saak S. 1 Gasanenko, Vitalii Alekseevich 1 Gnatenko, Andriy 1 Grigorchuk, Rostislav Ivanovich 1 Hernández, Salvador 1 Idzik, Adam 1 Kurdachenko, Leonid Andriĭovych 1 Landman, Bruce M. 1 Leader, Imre 1 Leiderman, Arkady G. 1 Lukashova, Tetyana D. 1 Maleki, Amir 1 Malykhin, Vyacheslav Ivanovich 1 Oliynyk, A. S. 1 Oliynyk, B. V. 1 Ostapenko, V. V. 1 Petravchuk, Anatolii P. 1 Pikhurko, Oleg 1 Popov, Yurij D. 1 Pszczola, Krzysztof J. 1 Pypka, Alexsandr A. 1 Repovš, Dušan D. 1 Rothschild, Bruce L. 1 Semko, Nikolaj N. 1 Sharyn, Sergii 1 Sipacheva, Ol’ga V. 1 Slobodyanyuk, S. 1 Stukotilov, V. S. 1 Subbotin, Igor Yakov 1 Tkachenko, Mikhail Gelievich 1 Tkachuk, Vladimir Vladimirovich 1 Tsvietkova, Anastasiia 1 Tylyshchak, O. A. 1 Vasil’eva, V. A. 1 Vasil’jeva, Vira A. 1 Vasyl’jeva, V. O. 1 Wilson, Richard Gordon 1 Yurchuk, T. L. 1 Zagorodnyuk, Andriy V. 1 Zelenyuk, Yuliya 1 Zhuchok, Anatolii V. all top 5 Serials 35 Matematychni Studiï 23 Ukrainian Mathematical Journal 23 Topology and its Applications 23 Algebra and Discrete Mathematics 16 Ukraïns’kyĭ Matematychnyĭ Zhurnal 13 Mathematical Notes 11 Journal of Mathematical Sciences (New York) 8 Applied General Topology 7 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 7 Commentationes Mathematicae Universitatis Carolinae 6 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 6 Applied General Topology 5 Siberian Mathematical Journal 5 Mathematical Studies Monograph Series 4 Topology Proceedings 4 Journal of Group Theory 4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 3 Soviet Mathematics. Doklady 3 Questions and Answers in General Topology 3 Visnyk L’vivs’kogo Universytetu. Seriya Mekhaniko-Matematychna 3 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 3 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 3 Axioms 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Matematicheskie Zametki 2 Mathematics of the USSR. Izvestiya 2 Notre Dame Journal of Formal Logic 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Soviet Mathematics 2 International Journal of Algebra and Computation 2 Dopovidi Akademiï Nauk Ukraïni 2 European Journal of Mathematics 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Journal of Graph Theory 1 Semigroup Forum 1 Combinatorica 1 Izvestiya Akademii Nauk Turkmenskoĭ SSR. Seriya Fiziko-Tekhnicheskikh, Khimicheskikh i Geologicheskikh Nauk 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 The Electronic Journal of Combinatorics 1 Sbornik: Mathematics 1 U Sviti Matematyky 1 Analele Universității din Oradea. Fascicola Matematică 1 Issledovanie Operatsiĭ i ASU 1 Central European Journal of Mathematics 1 Advances and Applications in Discrete Mathematics 1 Proceedings of the International Geometry Center 1 Carpathian Mathematical Publications all top 5 Fields 146 Topological groups, Lie groups (22-XX) 140 General topology (54-XX) 66 Group theory and generalizations (20-XX) 55 Combinatorics (05-XX) 19 Mathematical logic and foundations (03-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 14 Abstract harmonic analysis (43-XX) 7 Number theory (11-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Geometry (51-XX) 5 General algebraic systems (08-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 2 Real functions (26-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 163 Publications have been cited 856 times in 305 Documents Cited by ▼ Year ▼ Ball structures and colorings of graphs and groups. Zbl 1147.05033 Protasov, I.; Banakh, T. 66 2003 Topologies on groups determined by sequences. Zbl 0977.54029 Protasov, I.; Zelenyuk, E. 43 1999 General asymptology. Zbl 1172.54002 Protasov, Ihor; Zarichnyi, Michael 43 2007 Coronas of balleans. Zbl 1068.54036 Protasov, I. V. 23 2005 Normal ball structures. Zbl 1053.54503 Protasov, I. V. 23 2003 Topologies on Abelian groups. Zbl 0728.22003 Zelenyuk, E. G.; Protasov, I. V. 22 1991 Sparse, thin and other subsets of groups. Zbl 1186.20024 Lutsenko, Ie.; Protasov, I. V. 19 2009 Balleans and \(G\)-spaces. Zbl 1283.54007 Petrenko, O. V.; Protasov, I. V. 15 2012 Sketch of group balleans. Zbl 1061.22002 Protasov, I. V.; Protasova, O. I. 14 2004 Potentially compact Abelian groups. Zbl 0704.22003 Zelenyuk, E. G.; Protasov, I. V. 14 1990 Balleans of bounded geometry and \(G\)-spaces. Zbl 1164.37302 Protasov, Igor V. 13 2008 Maximal resolvability of bounded groups. Zbl 0866.54032 Malykhin, V. I.; Protasov, I. V. 13 1996 Selective survey on subset combinatorics of groups. Zbl 1283.20029 Protasov, Igor V. 12 2011 Thin subsets of balleans. Zbl 1207.54010 Lutsenko, Ievgen; Protasov, Igor 11 2010 Filters and topologies on semigroups. Zbl 0927.22009 Protasov, I. V. 11 1994 Discrete subsets of topological groups. Zbl 0836.22003 Protasov, I. V. 11 1994 Asymptotic proximities. Zbl 1179.54041 Protasov, I. V. 10 2008 Functionally balanced groups. Zbl 0737.22001 Protasov, I. V. 10 1991 Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025 Banakh, Taras; Protasov, Igor 10 2019 Balleans, hyperballeans and ideals. Zbl 1429.54035 Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò 10 2019 Boolean group ideals and the ideal structure of \(\beta G\). Zbl 1199.22007 Filali, M.; Lutsenko, Ie.; Protasov, I. V. 9 2009 Counting maximal topologies on countable groups and rings. Zbl 1171.54029 Dikranjan, D.; Protasov, Igor 9 2008 Algebraically determined topologies on permutation groups. Zbl 1277.20006 Banakh, Taras; Guran, Igor; Protasov, Igor 9 2012 Ultrafilters and topologies on groups. Zbl 1316.54002 Filali, Mahmoud; Protasov, Igor V. 9 2010 Complemented topologies on abelian groups. Zbl 0997.22002 Zelenyuk, E. G.; Protasov, I. V. 9 2001 Combinatorics of numbers. Transl. from the Russian manuscript by M. Zarichnyi and T. Banakh. Zbl 1102.05301 Protasov, I. 8 1997 Relatively thin and sparse subsets of groups. Zbl 1258.20027 Lutsenko, Ie.; Protasov, I. V. 8 2011 On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019 Banakh, T.; Gabriyelyan, S.; Protasov, I. 8 2016 Continuity of multiplication in the largest compactification of a locally compact group. Zbl 1024.22002 Protasov, I. V.; Pym, J. S. 8 2001 On hyperballeans of bounded geometry. Zbl 1409.54010 Protasov, Igor; Protasova, Ksenia 8 2018 The semigroup of closed subsets of a topological group. Zbl 0686.22001 Protasov, I. V.; Saryev, A. 7 1988 Cellularity and density of balleans. Zbl 1152.54312 Protasov, I. V. 7 2007 Slowly oscillating functions on locally compact groups. Zbl 1181.22011 Filali, M.; Protasov, I. 7 2005 On the subset combinatorics of \(G\)-spaces. Zbl 1334.54055 Protasov, Igor; Slobodianiuk, Sergii 7 2014 Scattered subsets of groups. Zbl 1359.20027 Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V. 7 2015 Hyperballeans of groups. Zbl 1425.54011 Dikranjan, D.; Protasov, I.; Zava, N. 7 2019 Connectedness in the space of subgroups. Zbl 0517.22004 Protasov, I. V.; Tsybenko, Yu. V. 6 1983 Irresolvable topologies on groups. Zbl 0934.22007 Protasov, I. V. 6 1998 Maximal topologies on groups. Zbl 0935.22002 Protasov, I. V. 6 1998 On the lattice of subgroups of a pro-finite group. Zbl 0389.22003 Protasov, I. V. 6 1978 Dualisms of topological abelian groups. Zbl 0428.22001 Protasov, I. V. 6 1979 On projections of topological groups. Zbl 0434.22002 Protasov, I. V.; Charin, V. S. 6 1978 Balleans of topological groups. Zbl 1291.22002 Hernández, Salvador; Protasov, Igor V. 6 2011 Balleans and filters. Zbl 1301.05350 Petrenko, O. V.; Protasov, I. V. 6 2012 Ultracompanions of subsets of a group. Zbl 1324.54044 Protasov, I.; Slobodianiuk, S. 6 2014 Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020 Banakh, Taras; Protasov, Igor; Sipacheva, Olga 6 2014 Every infinite group can be generated by P-small subset. Zbl 1112.20028 Dikranjan, Dikran; Protasov, Igor 5 2006 Compactness in the lattice of subgroups of a topological group. Zbl 0477.22002 Komarov, Yu. A.; Protasov, I. V. 5 1981 Strongly summable ultrafilters on abelian groups. Zbl 0934.22005 Hindman, Neil; Protasov, Igor; Strauss, Dona 5 1998 Resolvability of \(\tau\)-bounded groups. Zbl 0927.22001 Protasov, I. V. 5 1995 Coronas of ultrametric spaces. Zbl 1240.54087 Protasov, I. V. 5 2011 Balleans of bounded geometry and G-spaces. Zbl 1164.37301 Protasov, I. V. 5 2008 Ultrafilters and topologies on groups. Zbl 0828.22002 Protasov, I. V. 5 1993 Thin ultrafilters. Zbl 1258.03057 Petrenko, O.; Protasov, I. V. 5 2012 Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015 Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S. 5 2017 On asymorphisms of groups. Zbl 1375.20048 Protasov, Igor; Slobodianiuk, Serhii 5 2017 Morphisms of ball’s structures of groups and graphs. Zbl 1003.05053 Protasov, I. V. 5 2002 Selectors of discrete coarse spaces. Zbl 1524.54052 Protasov, Igor 5 2022 Decompositions of set-valued mappings. Zbl 1477.54017 Protasov, I. 5 2020 The combinatorial derivation. Zbl 1293.20002 Protasov, Igor V. 5 2013 On closed ideals of \(\beta G\). Zbl 1127.22002 Protasov, I. V.; Protasova, O. I. 4 2007 Topologies on \(S\) determined by idempotents in \(\beta S\). Zbl 0970.54036 Hindman, Neil; Protasov, Igor; Strauss, Dona 4 1998 On topologies in the lattice of subgroups. Zbl 0468.22003 Protasov, I. V. 4 1981 Spread of balleans. Zbl 1180.54008 Filali, M.; Protasov, I. V. 4 2008 A selection of open problems. Zbl 1217.05223 4 2009 Metrizable ball structures. Zbl 1038.54001 Protasov, I. V. 4 2002 Uniform ball structures. Zbl 1038.54002 Protasov, I. V. 4 2003 Topological groups with \(\sigma\)-compact space of subgroups. Zbl 0574.22003 Protasov, I. V. 4 1985 Binary coronas of balleans. Zbl 1066.54003 Protasov, I. V. 4 2003 Points of joint continuity for the semigroup of ultrafilters on an Abelian group. Zbl 0870.22001 Protasov, I. V. 4 1996 Topological Abelian groups with a locally compact lattice of closed subgroups. Zbl 0434.22003 Protasov, I. V.; Saryev, A. 4 1980 Local theorems for topological groups. Zbl 0453.22001 Protasov, I. V. 4 1980 Topological properties of the lattice of subgroups. Zbl 0456.22002 Protasov, I. V. 4 1980 Maximal vector topologies. Zbl 1251.54004 Protasov, I. V. 4 2012 Thin subsets of groups. Zbl 1343.20036 Protasov, I. V.; Slobodyanyuk, S. 4 2014 Coarse spaces, ultrafilters and dynamical systems. Zbl 1450.54011 Protasov, Igor 4 2021 Counting \(\Omega \)-ideals. Zbl 1202.08003 Protasov, Igor V. 4 2009 Varieties of coarse spaces. Zbl 1432.54031 Protasov, Igor 4 2018 Dynamical equivalences on \(G^*\). Zbl 1146.22005 Protasov, I. V. 3 2008 Decomposition of cellular balleans. Zbl 1193.54015 Protasov, I. V.; Tsvietkova, Anastasiia 3 2010 Decompositions of direct products of groups. Zbl 0933.22001 Protasov, I. V. 3 1997 The topological center of the semigroup of free ultrafilters. Zbl 0915.22002 Protasov, I. V. 3 1998 Sketch of vector balleans. Zbl 1199.46009 Lutsenko, Ie.; Protasov, I. V. 3 2009 Small subsets of groups. Zbl 1189.20033 Protasov, I. V. 3 2009 The Chabauty topology on the lattice of closed subgroups. Zbl 0574.22002 Protasov, I. V.; Tsybenko, Yu. V. 3 1984 Resolvability of ball structures. Zbl 1062.54006 Protasov, I. V. 3 2004 Asymmetrically decomposable Abelian groups. Zbl 0872.20048 Protasov, I. V. 3 1996 Groups with uniquely generated invariant subgroups. Zbl 0419.22004 Protasov, I. V.; Charin, V. S. 3 1977 Topological groups with compact lattice of closed subgroups. Zbl 0431.22002 Protasov, I. V. 3 1979 The dynamical look at the subsets of a group. Zbl 1329.54038 Protasov, Igor V.; Slobodianiuk, Sergii 3 2015 Densities, submeasures and partitions of groups. Zbl 1405.05192 Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy 3 2014 Constructing balleans. Zbl 1432.54024 Banakh, Taras O.; Protasov, Igor 3 2019 Thin subsets of topological groups. Zbl 1282.22001 Protasov, I. V. 3 2013 On a question of Dikranjan and Zava. Zbl 1440.22004 Protasov, Igor 3 2020 Closeness and linkness in balleans. Zbl 1437.54026 Protasov, I.; Protasova, K. 3 2020 Ultrafilters on metric spaces. Zbl 1293.54010 Protasov, I. V. 3 2014 Resolvability of groups. Zbl 0936.22002 Protasov, I. V. 2 1998 Absolutely decomposable groups. Zbl 0937.22001 Protasov, I. V. 2 1996 Weak \(P\)-points in coronas of \(G\)-spaces. Zbl 1243.54044 Protasov, I. V. 2 2012 Extraresolvability of balleans. Zbl 1199.54033 Protasov, I. V. 2 2007 Coarse selectors of groups. Zbl 07796861 Protasov, I. 1 2023 Selectors of discrete coarse spaces. Zbl 1524.54052 Protasov, Igor 5 2022 Coarse spaces, ultrafilters and dynamical systems. Zbl 1450.54011 Protasov, Igor 4 2021 Selectors and orderings of coarse spaces. Zbl 1471.54009 Protasov, Igor 2 2021 The normality of macrocubes and hyperballeans. Zbl 1475.54013 Protasov, Igor; Protasova, Ksenia 1 2021 The dynamical approach to the conjugacy in groups. Zbl 1498.20075 Protasov, Igor; Protasova, Ksenia 1 2021 Decompositions of set-valued mappings. Zbl 1477.54017 Protasov, I. 5 2020 On a question of Dikranjan and Zava. Zbl 1440.22004 Protasov, Igor 3 2020 Closeness and linkness in balleans. Zbl 1437.54026 Protasov, I.; Protasova, K. 3 2020 Constructing a coarse space with a given Higson or binary corona. Zbl 1459.54016 Banakh, Taras; Protasov, Igor 2 2020 Minmax bornologies. Zbl 1485.54017 Banakh, Taras; Protasov, Igor 1 2020 Weakening topologies on a countable Abelian group of finite exponent. Zbl 1461.22002 Protasov, Igor 1 2020 Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025 Banakh, Taras; Protasov, Igor 10 2019 Balleans, hyperballeans and ideals. Zbl 1429.54035 Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò 10 2019 Hyperballeans of groups. Zbl 1425.54011 Dikranjan, D.; Protasov, I.; Zava, N. 7 2019 Constructing balleans. Zbl 1432.54024 Banakh, Taras O.; Protasov, Igor 3 2019 Extremal balleans. Zbl 1421.54022 Protasov, Igor 2 2019 Sequential coarse structures of topological groups. Zbl 1421.22002 Protasov, I. V. 1 2019 On hyperballeans of bounded geometry. Zbl 1409.54010 Protasov, Igor; Protasova, Ksenia 8 2018 Varieties of coarse spaces. Zbl 1432.54031 Protasov, Igor 4 2018 Ideals in \(\mathcal{P}_G\) and \(\beta G\). Zbl 1416.22003 Protasov, Igor; Protasova, Ksenia 1 2018 A note on bornologies. Zbl 1422.57060 Protasov, I. V. 1 2018 Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015 Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S. 5 2017 On asymorphisms of groups. Zbl 1375.20048 Protasov, Igor; Slobodianiuk, Serhii 5 2017 Lattices of coarse structures. Zbl 1516.54009 Protasov, I. V.; Protasova, K. D. 2 2017 On recurrence in \(G\)-spaces. Zbl 1378.37028 Protasov, Igor; Protasova, Ksenia 1 2017 Selective and Ramsey ultrafilters on \(G\)-spaces. Zbl 1368.05150 Petrenko, Oleksandr; Protasov, Igor 1 2017 Ramsey-product subsets of a group. Zbl 1410.05215 Banakh, T.; Protasov, I.; Protasova, K. 1 2017 On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019 Banakh, T.; Gabriyelyan, S.; Protasov, I. 8 2016 The comb-like representations of cellular ordinal balleans. Zbl 1358.54009 Protasov, Igor; Protasova, Ksenia 1 2016 Box resolvability. Zbl 1343.22001 Protasov, Igor 1 2016 Scattered subsets of groups. Zbl 1359.20027 Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V. 7 2015 The dynamical look at the subsets of a group. Zbl 1329.54038 Protasov, Igor V.; Slobodianiuk, Sergii 3 2015 A note on partitions of groups. Zbl 1337.22003 Protasov, Igor; Slobodianiuk, Sergii 2 2015 Relative size of subsets of a semigroup. Zbl 1363.20052 Protasov, Igor; Slobodianiuk, Serhii 1 2015 On the subset combinatorics of \(G\)-spaces. Zbl 1334.54055 Protasov, Igor; Slobodianiuk, Sergii 7 2014 Ultracompanions of subsets of a group. Zbl 1324.54044 Protasov, I.; Slobodianiuk, S. 6 2014 Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020 Banakh, Taras; Protasov, Igor; Sipacheva, Olga 6 2014 Thin subsets of groups. Zbl 1343.20036 Protasov, I. V.; Slobodyanyuk, S. 4 2014 Densities, submeasures and partitions of groups. Zbl 1405.05192 Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy 3 2014 Ultrafilters on metric spaces. Zbl 1293.54010 Protasov, I. V. 3 2014 Asymptotic structures of cardinals. Zbl 1304.54009 Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergii 2 2014 Sparse and thin metric spaces. Zbl 1323.54029 Protasov, I. V. 2 2014 Around \(P\)-small subsets of groups. Zbl 1321.20040 Protasov, I. V.; Protasova, K. D. 2 2014 Partitions of groups. Zbl 1329.20055 Protasov, I.; Slobodianiuk, S. 1 2014 The combinatorial derivation. Zbl 1293.20002 Protasov, Igor V. 5 2013 Thin subsets of topological groups. Zbl 1282.22001 Protasov, I. V. 3 2013 The combinatorial derivation and its inverse mapping. Zbl 1300.20001 Protasov, Igor V. 2 2013 Balleans and \(G\)-spaces. Zbl 1283.54007 Petrenko, O. V.; Protasov, I. V. 15 2012 Algebraically determined topologies on permutation groups. Zbl 1277.20006 Banakh, Taras; Guran, Igor; Protasov, Igor 9 2012 Balleans and filters. Zbl 1301.05350 Petrenko, O. V.; Protasov, I. V. 6 2012 Thin ultrafilters. Zbl 1258.03057 Petrenko, O.; Protasov, I. V. 5 2012 Maximal vector topologies. Zbl 1251.54004 Protasov, I. V. 4 2012 Weak \(P\)-points in coronas of \(G\)-spaces. Zbl 1243.54044 Protasov, I. V. 2 2012 Kaleidoscopical configurations in \(G\)-spaces. Zbl 1243.05060 Banakh, Taras; Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergiy 2 2012 Partitions of groups into sparse subsets. Zbl 1258.20036 Protasov, Igor 2 2012 Selective survey on subset combinatorics of groups. Zbl 1283.20029 Protasov, Igor V. 12 2011 Relatively thin and sparse subsets of groups. Zbl 1258.20027 Lutsenko, Ie.; Protasov, I. V. 8 2011 Balleans of topological groups. Zbl 1291.22002 Hernández, Salvador; Protasov, Igor V. 6 2011 Coronas of ultrametric spaces. Zbl 1240.54087 Protasov, I. V. 5 2011 Kaleidoscopical configurations in groups. Zbl 1301.05133 Protasov, I. V.; Slobodianiuk, S. 2 2011 Partitions of groups into thin subsets. Zbl 1257.20046 Protasov, Igor 1 2011 Thin subsets of balleans. Zbl 1207.54010 Lutsenko, Ievgen; Protasov, Igor 11 2010 Ultrafilters and topologies on groups. Zbl 1316.54002 Filali, Mahmoud; Protasov, Igor V. 9 2010 Decomposition of cellular balleans. Zbl 1193.54015 Protasov, I. V.; Tsvietkova, Anastasiia 3 2010 Partitions of groups and matroids into independent subsets. Zbl 1224.05084 Banakh, Taras; Protasov, Igor 1 2010 Sparse, thin and other subsets of groups. Zbl 1186.20024 Lutsenko, Ie.; Protasov, I. V. 19 2009 Boolean group ideals and the ideal structure of \(\beta G\). Zbl 1199.22007 Filali, M.; Lutsenko, Ie.; Protasov, I. V. 9 2009 A selection of open problems. Zbl 1217.05223 4 2009 Counting \(\Omega \)-ideals. Zbl 1202.08003 Protasov, Igor V. 4 2009 Sketch of vector balleans. Zbl 1199.46009 Lutsenko, Ie.; Protasov, I. V. 3 2009 Small subsets of groups. Zbl 1189.20033 Protasov, I. V. 3 2009 Balleans of bounded geometry and \(G\)-spaces. Zbl 1164.37302 Protasov, Igor V. 13 2008 Asymptotic proximities. Zbl 1179.54041 Protasov, I. V. 10 2008 Counting maximal topologies on countable groups and rings. Zbl 1171.54029 Dikranjan, D.; Protasov, Igor 9 2008 Balleans of bounded geometry and G-spaces. Zbl 1164.37301 Protasov, I. V. 5 2008 Spread of balleans. Zbl 1180.54008 Filali, M.; Protasov, I. V. 4 2008 Dynamical equivalences on \(G^*\). Zbl 1146.22005 Protasov, I. V. 3 2008 Cellularity of a space of subgroups of a discrete group. Zbl 1212.54100 Leiderman, A.; Protasov, I. V. 1 2008 Kaleidoscopical graphs and Hamming codes. Zbl 1330.05073 Protasov, Igor; Protasova, Ksenia 1 2008 General asymptology. Zbl 1172.54002 Protasov, Ihor; Zarichnyi, Michael 43 2007 Cellularity and density of balleans. Zbl 1152.54312 Protasov, I. V. 7 2007 On closed ideals of \(\beta G\). Zbl 1127.22002 Protasov, I. V.; Protasova, O. I. 4 2007 Extraresolvability of balleans. Zbl 1199.54033 Protasov, I. V. 2 2007 Asymptotic oscillations. Zbl 1180.54043 Filali, M.; Protasov, I. 1 2007 Automorphisms of kaleidoscopical graphs. Zbl 1164.05358 Protasov, I. V.; Protasova, K. D. 1 2007 Every infinite group can be generated by P-small subset. Zbl 1112.20028 Dikranjan, Dikran; Protasov, Igor 5 2006 Survey of Balleans. Zbl 1174.54365 Protasov, I. V.; Protasova, O. I. 1 2006 Coronas of balleans. Zbl 1068.54036 Protasov, I. V. 23 2005 Slowly oscillating functions on locally compact groups. Zbl 1181.22011 Filali, M.; Protasov, I. 7 2005 Color-detectors of hypergraphs. Zbl 1088.05034 Protasov, I. V.; Protasova, O. I. 1 2005 Sketch of group balleans. Zbl 1061.22002 Protasov, I. V.; Protasova, O. I. 14 2004 Resolvability of ball structures. Zbl 1062.54006 Protasov, I. V. 3 2004 Small systems of generators of groups. Zbl 1078.20032 Protasov, I. V. 1 2004 Ball structures and colorings of graphs and groups. Zbl 1147.05033 Protasov, I.; Banakh, T. 66 2003 Normal ball structures. Zbl 1053.54503 Protasov, I. V. 23 2003 Uniform ball structures. Zbl 1038.54002 Protasov, I. V. 4 2003 Binary coronas of balleans. Zbl 1066.54003 Protasov, I. V. 4 2003 Some open problems in topological algebra. Zbl 1037.54001 Banakh, Taras; Čhoban, Mitrofan; Guran, Igor; Protasov, Igor 2 2003 Partitions of groups into large subsets. Zbl 1080.20028 Protasov, I. V. 2 2003 ...and 63 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 195 Authors 85 Protasov, Igor Volodymyrovych 28 Banakh, Taras Onufrievich 25 Zelenyuk, Yevhen G. 24 Dikranjan, Dikran N. 24 Gabriyelyan, Saak S. 13 Zava, Nicolò 10 Protasova, Ksenia D. 7 Tkachenko, Mikhail Gelievich 6 Comfort, William Wistar 6 Hamrouni, Hatem 5 Außenhofer, Lydia 5 Lin, Fucai 5 Slobodianiuk, Sergii 5 Zelenyuk, Yuliya 4 Filali, Mahmoud 4 García-Ferreira, Salvador 4 Kadri, Bilel 4 Keyantuo, Valentin 4 Martin Peinador, Elena 4 Shibakov, Alexander Y. 4 Toller, Daniele 3 Bouziad, Ahmed 3 Giordano Bruno, Anna 3 Kąkol, Jerzy 3 Kalantari, Shahab 3 Malykhin, Vyacheslav Ivanovich 3 Marcos, José E. 3 Neufang, Matthias 3 Peng, Dekui 3 Pestov, Vladimir G. 3 Ravsky, Alex 3 Sipacheva, Ol’ga V. 3 Strauss, Dona 3 Troallic, Jean-Pierre 3 Tsybenko, Yu. V. 2 Alaste, Tomi 2 Bardyla, Serhii 2 Bartoszewicz, Artur 2 Chasco, María Jesús 2 Chervak, Ostap 2 de Cornulier, Yves 2 De La Barrera Mayoral, Daniel 2 Fernández Bretón, David José 2 Filipczak, Małgorzata 2 Guran, Igor I. 2 He, Wei 2 Hernández, Salvador 2 Hindman, Neil 2 Jlali, Zouhour 2 Künzi, Hans-Peter A. 2 Leiderman, Arkady G. 2 Lin, Shou 2 Liu, Chuan 2 Lukács, Gábor 2 Lutsenko, Ie. 2 Megrelishvili, Michael G. 2 Milan, Chiara 2 Morris, Sidney A. 2 Mukhin, Yurii N. 2 Panasyuk, S. P. 2 Piskunov, A. G. 2 Salmi, Pekka 2 Slobodianiuk, S. V. 2 Slobodianiuk, Serhii 2 Tang, Zhongbao 2 Tarieladze, Vasha I. 2 Toko, Wilson B. 2 Yamauchi, Takamitsu 2 Yaschenko, Ivan V. 1 Ackelsberg, Ethan M. 1 Ahmadi Zand, Mohammad Reza 1 Alaya, Nejeh 1 Arruda, Paulo Henrique 1 Baglini, Lorenzo Luperi 1 Banakh, Iryna 1 Barbieri, Giuseppina Gerarda 1 Behrouzi, Farid 1 Bella, Angelo 1 Bergelson, Vitaly 1 Bergman, George M. 1 Bilet, Viktoriia Viktorivna 1 Blass, Andreas Raphael 1 Błaszczyk, Aleksander 1 Bonatto, Marco 1 Botha, Garith 1 Brodsky, N. B. 1 Bruguera, Montserrat 1 Brzeska, Anna 1 Cai, Zhangyong Cai 1 Carlson, Timothy J. 1 Carlucci, Lorenzo 1 Castellano, Ilaria 1 Charyev, A. 1 Chekeev, Asylbek A. 1 Chen, Xiaoyou 1 Christopherson, Cory 1 Chung, Yeong Chyuan 1 Corson, Samuel M. 1 Dahmen, Rafael 1 Dales, Harold Garth ...and 95 more Authors all top 5 Cited in 68 Serials 106 Topology and its Applications 25 Ukrainian Mathematical Journal 13 Journal of Mathematical Sciences (New York) 10 Mathematical Notes 9 Proceedings of the American Mathematical Society 9 Applied General Topology 7 Journal of Group Theory 6 Journal of Mathematical Analysis and Applications 6 Journal of Pure and Applied Algebra 6 Semigroup Forum 6 Matematychni Studiï 6 Axioms 5 Siberian Mathematical Journal 5 Algebra and Discrete Mathematics 5 Topological Algebra and its Applications 5 European Journal of Mathematics 4 Bulletin of the Australian Mathematical Society 4 International Journal of Algebra and Computation 4 Topology Proceedings 3 Journal of Functional Analysis 2 Advances in Mathematics 2 Algebra Universalis 2 Bulletin of the London Mathematical Society 2 Fundamenta Mathematicae 2 Journal of Combinatorial Theory. Series A 2 Journal of Soviet Mathematics 2 Monatshefte für Mathematik 2 Forum Mathematicum 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Algebra and Logic 1 Colloquium Mathematicum 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 The Journal of Symbolic Logic 1 Mathematica Slovaca 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Notre Dame Journal of Formal Logic 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Algebraic Combinatorics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 The Ramanujan Journal 1 Revista Matemática Complutense 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Portugaliae Mathematica. Nova Série 1 Central European Journal of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Annals of Functional Analysis 1 Afrika Matematika 1 Forum of Mathematics, Sigma 1 Carpathian Mathematical Publications 1 Graduate Journal of Mathematics all top 5 Cited in 32 Fields 218 General topology (54-XX) 184 Topological groups, Lie groups (22-XX) 69 Group theory and generalizations (20-XX) 29 Abstract harmonic analysis (43-XX) 25 Mathematical logic and foundations (03-XX) 24 Combinatorics (05-XX) 23 Functional analysis (46-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 11 Number theory (11-XX) 11 Category theory; homological algebra (18-XX) 11 Geometry (51-XX) 5 General algebraic systems (08-XX) 5 Measure and integration (28-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Citations by Year