Edit Profile Banaschewski, Bernhard Compute Distance To: Compute Author ID: banaschewski.bernhard Published as: Banaschewski, B.; Banaschewski, Bernard; Banaschewski, Bernhard Homepage: https://www.math.mcmaster.ca/index.php/people/faculty-emerti/66-/faculty-emeriti... External Links: MGP · Wikidata · ORCID · dblp · GND Documents Indexed: 230 Publications since 1953, including 4 Books Biographic References: 7 Publications all top 5 Co-Authors 131 single-authored 25 Pultr, Aleš 10 Nelson, Evelyn M. 9 Gilmour, Christopher R. A. 7 Mulvey, Christopher J. 6 Hager, Anthony W. 6 Hong, Sung Sa 5 Brümmer, Guillaume C. L. 4 Bruns, Gunter 4 Lowen, Robert 3 Sioen, Mark 3 Van Olmen, Christophe 3 Vermeulen, J. J. C. 3 Walters-Wayland, Joanne 2 Herrlich, Horst 2 Picado, Jorge 1 Baboolal, Dharmanand 1 Ball, Richard N. 1 Bhattacharjee, Pijushpani 1 Bhutani, Kiran R. 1 Clementino, Maria Manuel 1 Coquand, Thierry 1 Dube, Themba 1 Ebrahimi, Mohammad Mehdi 1 Erné, Marcel 1 Frith, John L. 1 Giuli, Eraldo 1 Gutiérrez García, Javier 1 Hardie, Keith A. 1 Harting, Roswitha 1 Hoffmann, Rudolf- Eberhard 1 Holgate, David B. 1 Jakl, Tomáš 1 Mahmoudi, Mojgan 1 Maranda, Jean-Marie 1 Matutu, Phethiwe 1 Moore, Gregory H. 1 Niefield, Susan B. 1 Sambin, Giovanni 1 Schuster, Peter Michael 1 Vermeulen, J. C. C. 1 Walters-Wayland, J. L. all top 5 Serials 21 Quaestiones Mathematicae 17 Journal of Pure and Applied Algebra 16 Algebra Universalis 16 Mathematische Nachrichten 12 Topology and its Applications 12 Applied Categorical Structures 10 Archiv der Mathematik 10 Commentationes Mathematicae Universitatis Carolinae 9 Canadian Journal of Mathematics 9 Kyungpook Mathematical Journal 8 Canadian Mathematical Bulletin 7 Order 5 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 4 Houston Journal of Mathematics 4 Fundamenta Mathematicae 4 Categories and General Algebraic Structures with Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematical Logic Quarterly (MLQ) 3 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 3 General Topology and its Applications 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Journal of the London Mathematical Society. Second Series 2 Notre Dame Journal of Formal Logic 2 Annals of Pure and Applied Logic 2 Lecture Notes in Mathematics 1 American Mathematical Monthly 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archivum Mathematicum 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Semigroup Forum 1 SIAM Journal on Computing 1 Acta Mathematica Hungarica 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Arabian Journal for Science and Engineering. Section C: Theme Issues 1 Portugaliae Mathematica. Nova Série 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Annals of the New York Academy of Sciences 1 Textos de Matemática. Série B 1 Applied General Topology all top 5 Fields 123 Order, lattices, ordered algebraic structures (06-XX) 109 General topology (54-XX) 71 Category theory; homological algebra (18-XX) 41 Mathematical logic and foundations (03-XX) 20 General algebraic systems (08-XX) 17 Functional analysis (46-XX) 8 Commutative algebra (13-XX) 5 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 3 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 189 Publications have been cited 1,935 times in 1,044 Documents Cited by ▼ Year ▼ The real numbers in pointfree topology. Zbl 0891.54009Banaschewski, B. 79 1997 Categorial characterization of the MacNeille completion. Zbl 0157.34101Banaschewski, B.; Bruns, G. 64 1967 Pseudocompactness and the cozero part of a frame. Zbl 0881.54018Banaschewski, B.; Gilmour, Ch. 52 1996 Tensor products and bimorphisms. Zbl 0392.18003Banaschewski, Bernhard; Nelson, Evelyn 41 1976 Realcompactness and the cozero part of a frame. Zbl 0978.54019Banaschewski, Bernhard; Gilmour, Christopher 40 2001 Stone-Cech compactification of locales. I. Zbl 0473.54026Banaschewski, B.; Mulvey, C. J. 39 1980 Hüllensysteme und Erweiterung von Quasi-Ordnungen. Zbl 0073.26904Banaschewski, Bernhard 38 1956 Compactification of frames. Zbl 0722.54018Banaschewski, Bernhard 37 1990 Subcategories defined by implications. Zbl 0344.18002Banaschewski, B.; Herrlich, Horst 37 1976 Booleanization. Zbl 0848.06010Banaschewski, B.; Pultr, A. 36 1996 Samuel compactification and completion of uniform frames. Zbl 0733.54020Banaschewski, Bernhard; Pultr, Aleš 35 1990 Another look at the localic Tychonoff theorem. Zbl 0667.54009Banaschewski, Bernhard 32 1988 Über nulldimensionale Räume. Zbl 0064.41303Banaschewski, Bernhard 32 1955 On the function ring functor in pointfree topology. Zbl 1158.54308Banaschewski, Bernhard 31 2005 Uniform completion in pointfree topology. Zbl 1034.06008Banaschewski, B. 31 2003 Biframes and bispaces. Zbl 0513.06005Banaschewski, B.; Brümmer, G. C. L.; Hardie, K. A. 31 1983 Stone-Čech compactification and dimension theory for regular \(\sigma\)-frames. Zbl 0675.06005Banaschewski, Bernhard; Gilmour, Christopher 29 1989 Cauchy points of uniform and nearness frames. Zbl 0861.54023Banaschewski, B.; Pultr, A. 27 1996 Extensions of topological spaces. Zbl 0121.17304Banaschewski, Bernhard 27 1964 Lattice aspects of radical ideals and choice principles. Zbl 0569.16003Banaschewski, Bernhard; Harting, Roswitha 26 1985 The power of the ultrafilter theorem. Zbl 0523.03037Banaschewski, B. 26 1983 Variants of openness. Zbl 0810.54017Banaschewski, Bernhard; Pultr, Aleš 24 1994 Equational compactness in equational classes of algebras. Zbl 0258.08005Banaschewski, B.; Nelson, E. 24 1972 Gelfand and exchange rings: their spectra in pointfree topology. Zbl 1271.13052Banaschewski, Bernhard 23 2000 Injectivity and essential extensions in equational classes of algebras. Zbl 0233.18002Banaschewski, B. 23 1970 A globalisation of the Gelfand duality theorem. Zbl 1103.18001Banaschewski, Bernhard; Mulvey, Christopher J. 22 2006 Stone-Čech compactification of locales. II. Zbl 0549.54017Banaschewski, B.; Mulvey, C. J. 22 1984 Compactification and local connectedness of frames. Zbl 0722.54031Baboolal, D.; Banaschewski, Bernhard 21 1991 Cozero bases of frames. Zbl 0964.54020Banaschewski, Bernhard; Gilmour, Christopher 20 2001 Pointfree topology and the spectra of \(f\)-rings. Zbl 0870.06017Banaschewski, Bernhard 20 1997 Projective and supercoherent frames. Zbl 0744.06006Banaschewski, Bernhard; Niefield, S. B. 20 1991 Minimal topological algebras. Zbl 0275.46043Banaschewski, B. 20 1974 Functors into categories of M-sets. Zbl 0257.18011Banaschewski, Bernhard 20 1972 Totalgeordnete Moduln. Zbl 0208.03702Banaschewski, B. 20 1957 Completeness properties of function rings in pointfree topology. Zbl 1098.06006Banaschewski, Bernhard; Hong, Sung Sa 18 2003 Paracompactness revisited. Zbl 0797.54032Banaschewski, Bernhard; Pultr, Aleš 18 1993 Essential extensions of \(T_0\)-spaces. Zbl 0371.54026Banaschewski, B. 18 1977 Radical ideals and coherent frames. Zbl 0853.06014Banaschewski, B. 17 1996 The spectral theory of commutative \(C^*\)-algebras: The constructive spectrum. Zbl 0977.18003Banaschewski, Bernhard; Mulvey, Christopher J. 16 2000 On the completion of nearness frames. Zbl 0931.54025Banaschewski, B.; Hong, S. S.; Pultr, A. 16 1998 Compact regular frames and the Sikorski theorem. Zbl 0676.03029Banaschewski, Bernhard 16 1988 The Birkhoff theorem for varieties of finite algebras. Zbl 0534.08005Banaschewski, B. 16 1983 Completions of partially ordered sets. Zbl 0493.06002Banaschewski, Bernhard; Nelson, Evelyn 16 1982 Sheaves of Banach spaces. Zbl 0435.46051Banaschewski, B. 16 1977 Injective hulls in the category of distributive lattices. Zbl 0186.30606Banaschewski, B.; Bruns, G. 16 1968 Stably continuous frames. Zbl 0676.54045Banaschewski, Bernhard; Brümmer, G. C. L. 15 1988 The duality of distributive continuous lattices. Zbl 0434.06011Banaschewski, B. 15 1980 On Wallman’s method of compactification. Zbl 0113.37701Banaschewski, B. 15 1963 Functorial maximal spectra. Zbl 0998.06007Banaschewski, B. 14 2002 The spectral theory of commutative \(C^*\)-algebras: The constructive Gelfand-Mazur theorem. Zbl 0977.18004Banaschewski, Bernhard; Mulvey, Christopher J. 14 2000 Projective covers in categories of topological spaces and topological algebras. Zbl 0227.54005Banaschewski, B. 14 1971 Sober approach spaces. Zbl 1114.54007Banaschewski, B.; Lowen, R.; Van Olmen, C. 13 2006 On coverings of modules. Zbl 0142.01004Banaschewski, B. 13 1966 The frame envelope of a \(\sigma\)-frame. Zbl 0779.06009Banaschewski, Bernhard 12 1993 Equational compactness of G-sets. Zbl 0294.08003Banaschewski, B. 12 1974 A new aspect of the cozero lattice in pointfree topology. Zbl 1175.06004Banaschewski, B. 11 2009 Strong zero-dimensionality of biframes and bispaces. Zbl 0722.54019Banaschewski, Bernhard; Brümmer, G. C. L. 11 1990 Boolean powers as algebras of continuous functions. Zbl 0439.08004Banaschewski, Bernhard; Nelson, Evelyn 11 1980 Maximal rings of quotients of semi-simple commutative rings. Zbl 0135.07901Banaschewski, B. 11 1965 A constructive proof of the Stone-Weierstrass theorem. Zbl 0873.46017Banaschewski, Bernhard; Mulvey, Christopher J. 10 1997 Boolean algebras in a localic topos. Zbl 0598.18001Banaschewski, B.; Bhutani, K. R. 10 1986 Prime elements from prime ideals. Zbl 0576.06010Banaschewski, B. 10 1985 Extended real functions in pointfree topology. Zbl 1260.06010Banaschewski, Bernhard; Gutiérrez García, Javier; Picado, Jorge 9 2012 Functorial uniformities on strongly zero-dimensional frames. Zbl 0993.54026Banaschewski, B.; Brümmer, G. C. L. 9 2001 Extension of invariant linear functionals: Hahn-Banach in the topos of M- sets. Zbl 0453.18003Banaschewski, B. 9 1980 Remarks on dual adjointness. Zbl 0392.18004Banaschewski, B. 9 1976 On lattice-ordered groups. Zbl 0129.01803Banaschewski, B. 9 1964 Essential completeness in categories of completely regular frames. Zbl 1307.06004Banaschewski, B.; Hager, A. W. 8 2013 Pointfree aspects of the \(T_D\) axiom of classical topology. Zbl 1274.54068Banaschewski, Bernhard; Pultr, Aleš 8 2010 Oz in pointfree topology. Zbl 1182.06002Banaschewski, Bernhard; Dube, Themba; Gilmour, Christopher; Walters-Wayland, Joanne 8 2009 Ring theory and pointfree topology. Zbl 1040.06004Banaschewski, B. 8 2004 On Krull’s separation lemma. Zbl 0795.06005Banaschewski, Bernhard; Erné, Marcel 8 1993 More on compact Hausdorff spaces and finitary duality. Zbl 0561.18004Banaschewski, B. 8 1984 Coherent frames. Zbl 0461.06010Banaschewski, Bernhard 8 1981 Continuous lattices. Proceedings of the conference on topological and categorical aspects of continuous lattices (Workshop IV) held at the University of Bremen, Germany, November 9-11, 1979. Zbl 0452.00011Banaschewski, B. (ed.); Hoffmann, R.-E. (ed.) 8 1981 Über Hausdorffsch-minimale Erweiterung von Räumen. Zbl 0101.14901Banaschewski, B. 8 1961 On the Weierstrass-Stone approximation theorem. Zbl 0081.32801Banaschewski, B. 8 1957 Über die Vervollständigung geordneter Gruppen. Zbl 0077.03302Banaschewski, Bernhard 8 1957 Local connectedness of extension spaces. Zbl 0072.17703Banaschewski, Bernhard 8 1956 Über zwei Extremaleigenschaften topologischer Räume. Zbl 0064.41302Banaschewski, Bernhard 8 1955 Projective frames: a general view. Zbl 1104.06006Banaschewski, B. 7 2005 On the completeness of localic groups. Zbl 0981.18010Banaschewski, B.; Vermeulen, J. J. C. 7 1999 A uniform view of localic realcompactness. Zbl 0953.54026Banaschewski, B. 7 1999 Filters and strict extensions of frames. Zbl 0931.54022Banaschewski, Bernhard; Hong, Sung Sa 7 1999 A new look at pointfree metrization theorems. Zbl 0937.54019Banaschewski, B.; Pultr, A. 7 1998 On categories of algebras equivalent to a variety. Zbl 0517.18010Banaschewski, B. 7 1983 On residual finiteness and finite embeddability. Zbl 0258.08004Banaschewski, B.; Nelson, E. 7 1972 Integral group rings of finite groups. Zbl 0189.32201Banaschewski, B. 7 1967 Ring ideals and the Stone-Čech compactification in pointfree topology. Zbl 1206.06005Banaschewski, Bernhard; Sioen, Mark 6 2010 On the function rings of pointfree topology. Zbl 1155.06008Banaschewski, Bernhard 6 2008 Extension by continuity in pointfree topology. Zbl 0974.54007Banaschewski, B.; Hong, S. S. 6 2000 Singly generated frame extensions. Zbl 0774.18004Banaschewski, Bernhard 6 1992 On pushing out frames. Zbl 0706.18003Banaschewski, Bernhard 6 1990 The fundamental duality of partially ordered sets. Zbl 0653.06003Banaschewski, Bernhard; Bruns, G. 6 1988 On the congruence lattice of a frame. Zbl 0637.06006Banaschewski, Bernhard; Frith, J. L.; Gilmour, C. R. A. 6 1987 When are divisible Abelian groups injective? Zbl 0484.18009Banaschewski, B. 6 1981 Some new characterizations of pointfree pseudocompactness. Zbl 1358.54019Banaschewski, Bernhard; Holgate, David; Sioen, Mark 5 2013 The axiom of countable choice and pointfree topology. Zbl 0976.03054Banaschewski, Bernhard 5 2001 A Stone duality for metric spaces. Zbl 0789.54035Banaschewski, Bernhard; Pultr, Aleš 5 1992 The dual Cantor-Bernstein theorem and the partition principle. Zbl 0716.03044Banaschewski, Bernhard; Moore, Gregory H. 5 1990 Representation of \(H\)-closed monoreflections in Archimedean \(\ell\)-groups with weak unit. Zbl 1403.06026Banaschewski, Bernhard; Hager, Anthony W. 3 2018 On the maps of pointfree topology which preserve the rings of integervalued continuous functions. Zbl 06909432Banaschewski, B. 2 2018 On the pointfree counterpart of the local definition of classical continuous maps. Zbl 06945018Banaschewski, Bernhard 1 2018 Nonmeasurable cardinals and pointfree topology. Zbl 1344.06011Banaschewski, Bernhard 3 2015 \(\ell\)-ring aspects of compactification in pointfree topology. Zbl 1295.06003Banaschewski, Bernhard; Sioen, Mark 3 2014 On covered prime elements and complete homomorphisms of frames. Zbl 1425.06002Banaschewski, Bernhard; Pultr, Aleš 1 2014 The \(P_0\)-reflection of 0-dimensional frames. Zbl 1286.05075Banaschewski, B. 1 2014 Essential completeness in categories of completely regular frames. Zbl 1307.06004Banaschewski, B.; Hager, A. W. 8 2013 Some new characterizations of pointfree pseudocompactness. Zbl 1358.54019Banaschewski, Bernhard; Holgate, David; Sioen, Mark 5 2013 Essential completeness of Archimedean \(\ell\)-groups with weak order unit. Zbl 1284.06040Banaschewski, B.; Hager, A. W. 4 2013 Countable composition closedness and integer-valued continuous functions in pointfree topology. Zbl 1371.06010Banaschewski, Bernhard 3 2013 Epimorphisms and maximal covers in categories of compact spaces. Zbl 1284.18007Banaschewski, B.; Hager, A. W. 2 2013 Extended real functions in pointfree topology. Zbl 1260.06010Banaschewski, Bernhard; Gutiérrez García, Javier; Picado, Jorge 9 2012 Completion and Samuel compactification of nearness and uniform frames. Zbl 1316.06008Banaschewski, Bernhard; Pultr, Aleš 1 2012 Compact Hausdorff approach frames. Zbl 1236.06006Banaschewski, Bernhard; Lowen, Robert; Van Olmen, Christophe 1 2012 On the sheaf characterization of Gelfand rings. Zbl 1274.13043Banaschewski, B.; Vermeulen, J. C. C. 1 2011 \(pm\)-rings and the prime ideal theorem. Zbl 1231.13022Banaschewski, B. 1 2011 Rings of continuous functions on \(\sigma \)-frames. Zbl 1218.06007Banaschewski, Bernhard; Gilmour, Christopher 1 2011 Pointfree aspects of the \(T_D\) axiom of classical topology. Zbl 1274.54068Banaschewski, Bernhard; Pultr, Aleš 8 2010 Ring ideals and the Stone-Čech compactification in pointfree topology. Zbl 1206.06005Banaschewski, Bernhard; Sioen, Mark 6 2010 On the strong amalgamation of Boolean algebras. Zbl 1204.06007Banaschewski, B. 2 2010 Approximate maps, filter monad, and a representation of localic maps. Zbl 1240.06038Banaschewski, Bernhard; Pultr, Aleš 1 2010 A new aspect of the cozero lattice in pointfree topology. Zbl 1175.06004Banaschewski, B. 11 2009 Oz in pointfree topology. Zbl 1182.06002Banaschewski, Bernhard; Dube, Themba; Gilmour, Christopher; Walters-Wayland, Joanne 8 2009 Injectivity of Archimedean \(\ell \)-groups with order unit. Zbl 1192.06013Banaschewski, B.; Hager, A. W. 2 2009 On the function rings of pointfree topology. Zbl 1155.06008Banaschewski, Bernhard 6 2008 The shrinking principle and the axiom of choice. Zbl 1124.03023Banaschewski, Bernhard; Schuster, Peter 4 2007 Regularity in approach theory. Zbl 1164.54010Banaschewski, B.; Lowen, R.; van Olmen, C. 3 2007 The Stone-Čech compactification and the cozero lattice in pointfree topology. Zbl 1151.54021Banaschewski, B. 1 2007 On Lindelöf uniform frames and the axiom of countable choice. Zbl 1129.54001Banaschewski, B.; Walters-Wayland, J. L. 1 2007 A globalisation of the Gelfand duality theorem. Zbl 1103.18001Banaschewski, Bernhard; Mulvey, Christopher J. 22 2006 Sober approach spaces. Zbl 1114.54007Banaschewski, B.; Lowen, R.; Van Olmen, C. 13 2006 Epimorphisms of uniform frames. Zbl 1102.18004Banaschewski, B.; Giuli, E.; Pultr, A. 1 2006 On the function ring functor in pointfree topology. Zbl 1158.54308Banaschewski, Bernhard 31 2005 Projective frames: a general view. Zbl 1104.06006Banaschewski, B. 7 2005 Variants of compactness in pointfree topology. Zbl 1152.54311Banaschewski, Bernard; Hong, Sung Sa 2 2005 Excluded middle versus choice in a topos. Zbl 1062.03047Banaschewski, Bernhard 1 2005 Ring theory and pointfree topology. Zbl 1040.06004Banaschewski, B. 8 2004 On weak lattice and frame homomorphisms. Zbl 1079.06010Banaschewski, Bernhard; Pultr, Aleš 2 2004 Uniform completion in pointfree topology. Zbl 1034.06008Banaschewski, B. 31 2003 Completeness properties of function rings in pointfree topology. Zbl 1098.06006Banaschewski, Bernhard; Hong, Sung Sa 18 2003 The Stone-Čech compactification of locales. III. Zbl 1036.54006Banaschewski, Bernhard; Mulvey, Christopher J. 4 2003 A constructive view of complete regularity. Zbl 1060.54015Banaschewski, Bernhard; Pultr, Aleš 3 2003 On the Booleanization of a finite distributive lattice. Zbl 1060.06017Banaschewski, B.; Vermeulen, J. J. C. 2 2003 On the normal completion of a Boolean algebra. Zbl 1018.06008Banaschewski, B.; Ebrahimi, M. M.; Mahmoudi, M. 2 2003 Functorial maximal spectra. Zbl 0998.06007Banaschewski, B. 14 2002 Stone’s real Gelfand duality in pointfree topology. Zbl 1074.06002Banaschewski, B. 3 2002 General filters and strict extensions in pointfree topology. Zbl 1029.06005Banaschewski, Bernhard; Hong, Sung Sa 3 2002 Realcompactness and the cozero part of a frame. Zbl 0978.54019Banaschewski, Bernhard; Gilmour, Christopher 40 2001 Cozero bases of frames. Zbl 0964.54020Banaschewski, Bernhard; Gilmour, Christopher 20 2001 Functorial uniformities on strongly zero-dimensional frames. Zbl 0993.54026Banaschewski, B.; Brümmer, G. C. L. 9 2001 The axiom of countable choice and pointfree topology. Zbl 0976.03054Banaschewski, Bernhard 5 2001 \(f\)-rings and the Stone-Weierstrass theorem. Zbl 0989.06012Banaschewski, B. 4 2001 Adjointness aspects of the down-set functor. Zbl 0985.18003Banaschewski, B.; Pultr, A. 1 2001 Gelfand and exchange rings: their spectra in pointfree topology. Zbl 1271.13052Banaschewski, Bernhard 23 2000 The spectral theory of commutative \(C^*\)-algebras: The constructive spectrum. Zbl 0977.18003Banaschewski, Bernhard; Mulvey, Christopher J. 16 2000 The spectral theory of commutative \(C^*\)-algebras: The constructive Gelfand-Mazur theorem. Zbl 0977.18004Banaschewski, Bernhard; Mulvey, Christopher J. 14 2000 Extension by continuity in pointfree topology. Zbl 0974.54007Banaschewski, B.; Hong, S. S. 6 2000 On the completeness of localic groups. Zbl 0981.18010Banaschewski, B.; Vermeulen, J. J. C. 7 1999 A uniform view of localic realcompactness. Zbl 0953.54026Banaschewski, B. 7 1999 Filters and strict extensions of frames. Zbl 0931.54022Banaschewski, Bernhard; Hong, Sung Sa 7 1999 On locally connected frames. Zbl 0984.54025Banaschewski, B. 1 1999 Propositional logic, frames, and fuzzy algebra. Zbl 0963.03089Banaschewski, B. 1 1999 On the completion of nearness frames. Zbl 0931.54025Banaschewski, B.; Hong, S. S.; Pultr, A. 16 1998 A new look at pointfree metrization theorems. Zbl 0937.54019Banaschewski, B.; Pultr, A. 7 1998 The real numbers in pointfree topology. Zbl 0891.54009Banaschewski, B. 79 1997 Pointfree topology and the spectra of \(f\)-rings. Zbl 0870.06017Banaschewski, Bernhard 20 1997 A constructive proof of the Stone-Weierstrass theorem. Zbl 0873.46017Banaschewski, Bernhard; Mulvey, Christopher J. 10 1997 On Cauchy homomorphisms of nearness frames. Zbl 0866.54025Banaschewski, B.; Pultr, A. 3 1997 Pseudocompactness and the cozero part of a frame. Zbl 0881.54018Banaschewski, B.; Gilmour, Ch. 52 1996 Booleanization. Zbl 0848.06010Banaschewski, B.; Pultr, A. 36 1996 Cauchy points of uniform and nearness frames. Zbl 0861.54023Banaschewski, B.; Pultr, A. 27 1996 Radical ideals and coherent frames. Zbl 0853.06014Banaschewski, B. 17 1996 Polynomials and radical ideals. Zbl 0873.13007Banaschewski, B.; Vermeulen, J. J. C. 2 1996 Universal categories of uniform and metric locales. Zbl 0854.18005Banaschewski, B.; Pultr, A. 2 1996 Booleanization of uniform frames. Zbl 0848.06009Banaschewski, B.; Pultr, A. 2 1996 Variants of openness. Zbl 0810.54017Banaschewski, Bernhard; Pultr, Aleš 24 1994 A new proof that “Krull implies Zorn”. Zbl 0813.03032Banaschewski, Bernhard 2 1994 On certain localic nuclei. Zbl 0816.06017Banaschewski, Bernhard 1 1994 Paracompactness revisited. Zbl 0797.54032Banaschewski, Bernhard; Pultr, Aleš 18 1993 The frame envelope of a \(\sigma\)-frame. Zbl 0779.06009Banaschewski, Bernhard 12 1993 On Krull’s separation lemma. Zbl 0795.06005Banaschewski, Bernhard; Erné, Marcel 8 1993 Distributive algebras in linear categories. Zbl 0780.18005Banaschewski, Bernhard; Pultr, Aleš 2 1993 Supercompactness, products and the axiom of choice. Zbl 0796.54012Banaschewski, Bernhard 1 1993 Singly generated frame extensions. Zbl 0774.18004Banaschewski, Bernhard 6 1992 A Stone duality for metric spaces. Zbl 0789.54035Banaschewski, Bernhard; Pultr, Aleš 5 1992 Bourbaki’s fixpoint lemma reconsidered. Zbl 0779.06004Banaschewski, Bernhard 3 1992 Recent results in pointfree topology. Zbl 1250.54001Banaschewski, Bernhard 1 1992 Algebraic closure without choice. Zbl 0739.03027Banaschewski, Bernhard 1 1992 Compactification and local connectedness of frames. Zbl 0722.54031Baboolal, D.; Banaschewski, Bernhard 21 1991 Projective and supercoherent frames. Zbl 0744.06006Banaschewski, Bernhard; Niefield, S. B. 20 1991 Tarski’s fixpoint lemma and combinatorial games. Zbl 0733.90091Banaschewski, Bernhard; Pultr, Aleš 1 1991 Compactification of frames. Zbl 0722.54018Banaschewski, Bernhard 37 1990 Samuel compactification and completion of uniform frames. Zbl 0733.54020Banaschewski, Bernhard; Pultr, Aleš 35 1990 Strong zero-dimensionality of biframes and bispaces. Zbl 0722.54019Banaschewski, Bernhard; Brümmer, G. C. L. 11 1990 On pushing out frames. Zbl 0706.18003Banaschewski, Bernhard 6 1990 The dual Cantor-Bernstein theorem and the partition principle. Zbl 0716.03044Banaschewski, Bernhard; Moore, Gregory H. 5 1990 Stone-Čech compactification and dimension theory for regular \(\sigma\)-frames. Zbl 0675.06005Banaschewski, Bernhard; Gilmour, Christopher 29 1989 Cauchy points of metric locales. Zbl 0683.54034Banaschewski, Bernhard; Pultr, Aleš 4 1989 Another look at the localic Tychonoff theorem. Zbl 0667.54009Banaschewski, Bernhard 32 1988 ...and 89 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 759 Authors 73 Banaschewski, Bernhard 51 Dube, Themba 45 Pultr, Aleš 40 Picado, Jorge 25 Gutiérrez García, Javier 23 Erné, Marcel 22 Adámek, Jiří 21 Hager, Anthony W. 20 Martínez, Jorge L. 17 Naidoo, Inderasan 16 Ebrahimi, Mohammad Mehdi 15 Ball, Richard N. 15 Herrlich, Horst 14 Kubiak, Tomasz 14 Nelson, Evelyn M. 14 Schauerte, Anneliese 13 Bezhanishvili, Guram 13 Dikranjan, Dikran N. 13 Frith, John L. 11 Baboolal, Dharmanand 11 Ighedo, Oghenetega 11 Paseka, Jan 10 Mahmoudi, Mojgan 10 Mulvey, Christopher J. 9 Davey, Brian A. 9 Gehrke, Mai 9 Moshier, M. Andrew 9 Sousa, Lurdes 8 Harding, John 8 McGovern, Warren Wm. 8 Sioen, Mark 8 Spitters, Bas 8 Walters-Wayland, Joanne 7 Coquand, Thierry 7 Estaji, Ali Akbar 7 Höhle, Ulrich 7 Lowen, Robert 7 Solovyov, Sergey A. 7 Stephenson, Robert M. jun. 7 Zenk, Eric Richard 6 Bankston, Paul 6 Brümmer, Guillaume C. L. 6 Curi, Giovanni 6 Dimov, Georgi D. 6 Hofmann, Dirk 6 Morandi, Patrick J. 6 Mozo Carollo, Imanol 6 Porst, Hans-Eberhard 6 Rival, Ivan 6 Rosický, Jiří 6 Schuster, Peter Michael 6 Taylor, Walter F. 6 Tholen, Walter 5 Borceux, Francis 5 Choe, Tae Ho 5 Colebunders, Eva 5 Conrad, Paul F. 5 Ferreira, Maria João 5 Georgiou, Dimitrios N. 5 Heunen, Chris 5 Johnstone, Peter T. 5 Jung, Achim 5 Marra, Vincenzo 5 Megaritis, Athanasios C. 5 Mugochi, Martin M. 5 Priestley, Hilary A. 5 Wehrung, Friedrich 5 Wick Pelletier, Joan 4 Abedi, Mostafa 4 Almeida, Jorge 4 Bhutani, Kiran R. 4 Demirci, Mustafa 4 Galatos, Nikolaos 4 Georgescu, George 4 Gilmour, Christopher R. A. 4 Giuli, Eraldo 4 Haviar, Miroslav 4 Hoffmann, Rudolf- Eberhard 4 Hunsaker, Worthen N. 4 Karimi Feizabadi, Abolghasem 4 Landsman, Nicolaas P. 4 Lawson, Mark Verus 4 Madden, James J. 4 Niefield, Susan B. 4 Redfield, Robert H. 4 Rodabaugh, Stephen Ernest 4 Sereti, Fotini 4 Sichler, Jiří Jan 4 Strecker, George E. 4 Zhao, Bin 3 Aczel, Peter 3 Bachman, George 3 Bacsich, Paul D. 3 Bělohlávek, Radim 3 Bergman, George M. 3 Bhunia, Goutam 3 Bruns, Gunter 3 Carrera, Ricardo E. 3 Day, Alan 3 Denniston, Jeffrey T. ...and 659 more Authors all top 5 Cited in 139 Serials 115 Algebra Universalis 114 Topology and its Applications 102 Journal of Pure and Applied Algebra 89 Applied Categorical Structures 35 Quaestiones Mathematicae 32 Order 26 Transactions of the American Mathematical Society 25 Cahiers de Topologie et Géométrie Différentielle Catégoriques 23 Proceedings of the American Mathematical Society 23 Semigroup Forum 22 Fuzzy Sets and Systems 19 Journal of Algebra 17 Annals of Pure and Applied Logic 16 Communications in Algebra 16 Acta Mathematica Hungarica 14 Archiv der Mathematik 14 Czechoslovak Mathematical Journal 12 Mathematische Annalen 10 Theoretical Computer Science 9 Mathematische Zeitschrift 9 Categories and General Algebraic Structures with Applications 8 Bulletin of the Australian Mathematical Society 8 Advances in Mathematics 8 Journal of Soviet Mathematics 8 Mathematica Slovaca 8 Studia Logica 8 Journal of Algebra and its Applications 7 Discrete Mathematics 7 International Journal of Theoretical Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Rendiconti del Seminario Matematico della Università di Padova 6 Israel Journal of Mathematics 6 Journal of Mathematical Analysis and Applications 6 Rocky Mountain Journal of Mathematics 6 The Journal of Symbolic Logic 6 Archive for Mathematical Logic 6 Journal of the Australian Mathematical Society 5 Periodica Mathematica Hungarica 5 Journal of Mathematical Sciences (New York) 5 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Computer and System Sciences 4 Manuscripta Mathematica 4 MSCS. Mathematical Structures in Computer Science 4 Theory and Applications of Categories 4 Bulletin of the American Mathematical Society 3 Algebra and Logic 3 Compositio Mathematica 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Combinatorial Theory. Series A 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Siberian Mathematical Journal 3 Bulletin of the Iranian Mathematical Society 3 Foundations of Physics 3 Proceedings of the Japan Academy 3 Open Mathematics 2 Communications in Mathematical Physics 2 Lithuanian Mathematical Journal 2 Mathematical Notes 2 Acta Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Notre Dame Journal of Formal Logic 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Advances in Applied Mathematics 2 Forum Mathematicum 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Mathematical Logic Quarterly (MLQ) 2 The Bulletin of Symbolic Logic 2 Soft Computing 2 Acta Mathematica Sinica. English Series 2 The Journal of Logic and Algebraic Programming 2 Journal of Intelligent and Fuzzy Systems 2 Logical Methods in Computer Science 2 Asian-European Journal of Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Archive for History of Exact Sciences 1 International Journal of General Systems 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Commentationes Mathematicae Universitatis Carolinae 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Graph Theory 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Economics 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Synthese 1 Cybernetics and Systems 1 Acta Applicandae Mathematicae ...and 39 more Serials all top 5 Cited in 39 Fields 573 Order, lattices, ordered algebraic structures (06-XX) 475 General topology (54-XX) 304 Category theory; homological algebra (18-XX) 160 Mathematical logic and foundations (03-XX) 120 General algebraic systems (08-XX) 70 Functional analysis (46-XX) 68 Commutative algebra (13-XX) 68 Group theory and generalizations (20-XX) 57 Associative rings and algebras (16-XX) 33 Computer science (68-XX) 31 Topological groups, Lie groups (22-XX) 17 Quantum theory (81-XX) 10 History and biography (01-XX) 8 Field theory and polynomials (12-XX) 8 Real functions (26-XX) 7 Combinatorics (05-XX) 7 Measure and integration (28-XX) 5 Algebraic topology (55-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Number theory (11-XX) 4 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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