Edit Profile (opens in new tab) Banaschewski, Bernhard Co-Author Distance Author ID: banaschewski.bernhard Published as: Banaschewski, B.; Banaschewski, Bernhard; Banaschewski, Bernard more...less Homepage: https://www.math.mcmaster.ca/index.php/people/faculty-emerti/66-/faculty-emeriti... External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 225 Publications since 1953, including 1 Book 5 Contributions as Editor · 2 Further Contributions Biographic References: 7 Publications Co-Authors: 40 Co-Authors with 100 Joint Publications 565 Co-Co-Authors all top 5 Co-Authors 131 single-authored 25 Pultr, Aleš 11 Gilmour, Christopher R. A. 10 Nelson, Evelyn M. 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. 2 Herrlich, Horst 2 Picado, Jorge 2 Walters-Wayland, Joanne 1 Baboolal, Dharmanand 1 Ball, Richard N. 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 6 Categories and General Algebraic Structures with Applications 5 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 4 Houston Journal of Mathematics 4 Fundamenta Mathematicae 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 124 Order, lattices, ordered algebraic structures (06-XX) 110 General topology (54-XX) 74 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) 6 History and biography (01-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) 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 197 Publications have been cited 2,276 times in 1,227 Documents Cited by ▼ Year ▼ The real numbers in pointfree topology. Zbl 0891.54009 Banaschewski, B. 119 1997 Categorial characterization of the MacNeille completion. Zbl 0157.34101 Banaschewski, B.; Bruns, G. 79 1967 Pseudocompactness and the cozero part of a frame. Zbl 0881.54018 Banaschewski, B.; Gilmour, Ch. 61 1996 Realcompactness and the cozero part of a frame. Zbl 0978.54019 Banaschewski, Bernhard; Gilmour, Christopher 49 2001 Stone-Cech compactification of locales. I. Zbl 0473.54026 Banaschewski, B.; Mulvey, C. J. 49 1980 Hüllensysteme und Erweiterung von Quasi-Ordnungen. Zbl 0073.26904 Banaschewski, Bernhard 45 1956 Compactification of frames. Zbl 0722.54018 Banaschewski, Bernhard 45 1990 Tensor products and bimorphisms. Zbl 0392.18003 Banaschewski, Bernhard; Nelson, Evelyn 44 1976 Booleanization. Zbl 0848.06010 Banaschewski, B.; Pultr, A. 44 1996 Uniform completion in pointfree topology. Zbl 1034.06008 Banaschewski, B. 40 2003 Samuel compactification and completion of uniform frames. Zbl 0733.54020 Banaschewski, Bernhard; Pultr, Aleš 39 1990 Another look at the localic Tychonoff theorem. Zbl 0667.54009 Banaschewski, Bernhard 38 1988 On the function ring functor in pointfree topology. Zbl 1158.54308 Banaschewski, Bernhard 38 2005 Subcategories defined by implications. Zbl 0344.18002 Banaschewski, B.; Herrlich, Horst 37 1976 Biframes and bispaces. Zbl 0513.06005 Banaschewski, B.; Brümmer, G. C. L.; Hardie, K. A. 37 1983 Über nulldimensionale Räume. Zbl 0064.41303 Banaschewski, Bernhard 35 1955 Gelfand and exchange rings: their spectra in pointfree topology. Zbl 1271.13052 Banaschewski, Bernhard 34 2000 Stone-Čech compactification and dimension theory for regular \(\sigma\)-frames. Zbl 0675.06005 Banaschewski, Bernhard; Gilmour, Christopher 33 1989 Injectivity and essential extensions in equational classes of algebras. Zbl 0233.18002 Banaschewski, B. 33 1970 Variants of openness. Zbl 0810.54017 Banaschewski, Bernhard; Pultr, Aleš 30 1994 Cauchy points of uniform and nearness frames. Zbl 0861.54023 Banaschewski, B.; Pultr, A. 30 1996 Extensions of topological spaces. Zbl 0121.17304 Banaschewski, Bernhard 28 1964 Lattice aspects of radical ideals and choice principles. Zbl 0569.16003 Banaschewski, Bernhard; Harting, Roswitha 28 1985 The power of the ultrafilter theorem. Zbl 0523.03037 Banaschewski, B. 27 1983 Equational compactness in equational classes of algebras. Zbl 0258.08005 Banaschewski, B.; Nelson, E. 26 1972 Minimal topological algebras. Zbl 0275.46043 Banaschewski, B. 26 1974 Compactification and local connectedness of frames. Zbl 0722.54031 Baboolal, D.; Banaschewski, Bernhard 26 1991 Stone-Čech compactification of locales. II. Zbl 0549.54017 Banaschewski, B.; Mulvey, C. J. 24 1984 Projective and supercoherent frames. Zbl 0744.06006 Banaschewski, Bernhard; Niefield, S. B. 24 1991 Cozero bases of frames. Zbl 0964.54020 Banaschewski, Bernhard; Gilmour, Christopher 23 2001 Functors into categories of M-sets. Zbl 0257.18011 Banaschewski, Bernhard 23 1972 Radical ideals and coherent frames. Zbl 0853.06014 Banaschewski, B. 23 1996 Completeness properties of function rings in pointfree topology. Zbl 1098.06006 Banaschewski, Bernhard; Hong, Sung Sa 22 2003 A globalisation of the Gelfand duality theorem. Zbl 1103.18001 Banaschewski, Bernhard; Mulvey, Christopher J. 22 2006 Pointfree topology and the spectra of \(f\)-rings. Zbl 0870.06017 Banaschewski, Bernhard 21 1997 Injective hulls in the category of distributive lattices. Zbl 0186.30606 Banaschewski, B.; Bruns, G. 21 1968 Totalgeordnete Moduln. Zbl 0208.03702 Banaschewski, B. 20 1957 Paracompactness revisited. Zbl 0797.54032 Banaschewski, Bernhard; Pultr, Aleš 19 1993 On the completion of nearness frames. Zbl 0931.54025 Banaschewski, B.; Hong, S. S.; Pultr, A. 18 1998 Essential extensions of \(T_0\)-spaces. Zbl 0371.54026 Banaschewski, B. 18 1977 The Birkhoff theorem for varieties of finite algebras. Zbl 0534.08005 Banaschewski, B. 18 1983 Completions of partially ordered sets. Zbl 0493.06002 Banaschewski, Bernhard; Nelson, Evelyn 18 1982 Stably continuous frames. Zbl 0676.54045 Banaschewski, Bernhard; Brümmer, G. C. L. 17 1988 The duality of distributive continuous lattices. Zbl 0434.06011 Banaschewski, B. 17 1980 Sheaves of Banach spaces. Zbl 0435.46051 Banaschewski, B. 17 1977 Compact regular frames and the Sikorski theorem. Zbl 0676.03029 Banaschewski, Bernhard 16 1988 The spectral theory of commutative \(C^*\)-algebras: The constructive spectrum. Zbl 0977.18003 Banaschewski, Bernhard; Mulvey, Christopher J. 16 2000 Projective covers in categories of topological spaces and topological algebras. Zbl 0227.54005 Banaschewski, B. 16 1971 Functorial maximal spectra. Zbl 0998.06007 Banaschewski, B. 15 2002 Equational compactness of G-sets. Zbl 0294.08003 Banaschewski, B. 15 1974 On Wallman’s method of compactification. Zbl 0113.37701 Banaschewski, B. 15 1963 Pointfree aspects of the \(T_D\) axiom of classical topology. Zbl 1274.54068 Banaschewski, Bernhard; Pultr, Aleš 15 2010 The frame envelope of a \(\sigma\)-frame. Zbl 0779.06009 Banaschewski, Bernhard 14 1993 Sober approach spaces. Zbl 1114.54007 Banaschewski, B.; Lowen, R.; Van Olmen, C. 14 2006 The spectral theory of commutative \(C^*\)-algebras: The constructive Gelfand-Mazur theorem. Zbl 0977.18004 Banaschewski, Bernhard; Mulvey, Christopher J. 14 2000 A new aspect of the cozero lattice in pointfree topology. Zbl 1175.06004 Banaschewski, B. 14 2009 Coherent frames. Zbl 0461.06010 Banaschewski, Bernhard 14 1981 Boolean powers as algebras of continuous functions. Zbl 0439.08004 Banaschewski, Bernhard; Nelson, Evelyn 13 1980 On coverings of modules. Zbl 0142.01004 Banaschewski, B. 13 1966 Boolean algebras in a localic topos. Zbl 0598.18001 Banaschewski, B.; Bhutani, K. R. 12 1986 Extended real functions in pointfree topology. Zbl 1260.06010 Banaschewski, Bernhard; Gutiérrez García, Javier; Picado, Jorge 11 2012 On lattice-ordered groups. Zbl 0129.01803 Banaschewski, B. 11 1964 Maximal rings of quotients of semi-simple commutative rings. Zbl 0135.07901 Banaschewski, B. 11 1965 Strong zero-dimensionality of biframes and bispaces. Zbl 0722.54019 Banaschewski, Bernhard; Brümmer, G. C. L. 11 1990 Oz in pointfree topology. Zbl 1182.06002 Banaschewski, Bernhard; Dube, Themba; Gilmour, Christopher; Walters-Wayland, Joanne 11 2009 On Krull’s separation lemma. Zbl 0795.06005 Banaschewski, Bernhard; Erné, Marcel 10 1993 A constructive proof of the Stone-Weierstrass theorem. Zbl 0873.46017 Banaschewski, Bernhard; Mulvey, Christopher J. 10 1997 Functorial uniformities on strongly zero-dimensional frames. Zbl 0993.54026 Banaschewski, B.; Brümmer, G. C. L. 10 2001 Prime elements from prime ideals. Zbl 0576.06010 Banaschewski, B. 10 1985 More on compact Hausdorff spaces and finitary duality. Zbl 0561.18004 Banaschewski, B. 10 1984 Extension of invariant linear functionals: Hahn-Banach in the topos of M- sets. Zbl 0453.18003 Banaschewski, B. 9 1980 Remarks on dual adjointness. Zbl 0392.18004 Banaschewski, B. 9 1976 A uniform view of localic realcompactness. Zbl 0953.54026 Banaschewski, B. 9 1999 Ring theory and pointfree topology. Zbl 1040.06004 Banaschewski, B. 9 2004 Singly generated frame extensions. Zbl 0774.18004 Banaschewski, Bernhard 9 1992 Essential completeness in categories of completely regular frames. Zbl 1307.06004 Banaschewski, B.; Hager, A. W. 9 2013 Ring ideals and the Stone-Čech compactification in pointfree topology. Zbl 1206.06005 Banaschewski, Bernhard; Sioen, Mark 9 2010 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 0452.00011 8 1981 The fundamental duality of partially ordered sets. Zbl 0653.06003 Banaschewski, Bernhard; Bruns, G. 8 1988 Filters and strict extensions of frames. Zbl 0931.54022 Banaschewski, Bernhard; Hong, Sung Sa 8 1999 A new look at pointfree metrization theorems. Zbl 0937.54019 Banaschewski, B.; Pultr, A. 8 1998 Über zwei Extremaleigenschaften topologischer Räume. Zbl 0064.41302 Banaschewski, Bernhard 8 1955 On the Weierstrass-Stone approximation theorem. Zbl 0081.32801 Banaschewski, B. 8 1957 Über Hausdorffsch-minimale Erweiterung von Räumen. Zbl 0101.14901 Banaschewski, B. 8 1961 Local connectedness of extension spaces. Zbl 0072.17703 Banaschewski, Bernhard 8 1956 Über die Vervollständigung geordneter Gruppen. Zbl 0077.03302 Banaschewski, Bernhard 8 1957 A Stone duality for metric spaces. Zbl 0789.54035 Banaschewski, Bernhard; Pultr, Aleš 7 1992 Projective frames: a general view. Zbl 1104.06006 Banaschewski, B. 7 2005 On the completeness of localic groups. Zbl 0981.18010 Banaschewski, B.; Vermeulen, J. J. C. 7 1999 Polynomials and radical ideals. Zbl 0873.13007 Banaschewski, B.; Vermeulen, J. J. C. 7 1996 The axiom of countable choice and pointfree topology. Zbl 0976.03054 Banaschewski, Bernhard 7 2001 On residual finiteness and finite embeddability. Zbl 0258.08004 Banaschewski, B.; Nelson, E. 7 1972 On the function rings of pointfree topology. Zbl 1155.06008 Banaschewski, Bernhard 7 2008 On the congruence lattice of a frame. Zbl 0637.06006 Banaschewski, Bernhard; Frith, J. L.; Gilmour, C. R. A. 7 1987 Integral group rings of finite groups. Zbl 0189.32201 Banaschewski, B. 7 1967 On categories of algebras equivalent to a variety. Zbl 0517.18010 Banaschewski, B. 7 1983 A new proof that “Krull implies Zorn”. Zbl 0813.03032 Banaschewski, Bernhard 6 1994 On the non-existence of injective near-ring modules. Zbl 0373.16009 Banaschewski, Bernhard; Nelson, Evelyn 6 1977 Extension by continuity in pointfree topology. Zbl 0974.54007 Banaschewski, B.; Hong, S. S. 6 2000 A constructive view of complete regularity. Zbl 1060.54015 Banaschewski, Bernhard; Pultr, Aleš 6 2003 A remark on the ring of integer-valued continuous functions in pointfree topology. Zbl 1477.06027 Banaschewski, B. 3 2020 Representation of \(H\)-closed monoreflections in Archimedean \(\ell\)-groups with weak unit. Zbl 1403.06026 Banaschewski, Bernhard; Hager, Anthony W. 4 2018 On the maps of pointfree topology which preserve the rings of integervalued continuous functions. Zbl 1507.06016 Banaschewski, B. 2 2018 On the pointfree counterpart of the local definition of classical continuous maps. Zbl 1477.06028 Banaschewski, Bernhard 2 2018 Remarks concerning certain function rings in pointfree topology. Zbl 1403.06012 Banaschewski, B. 2 2018 Tightness relative to some (co)reflections in topology. Zbl 1436.06019 Ball, Richard N.; Banaschewski, Bernhard; Jakl, Tomáš; Pultr, Aleš; Walters-Wayland, Joanne 3 2016 Nonmeasurable cardinals and pointfree topology. Zbl 1344.06011 Banaschewski, Bernhard 3 2015 On covered prime elements and complete homomorphisms of frames. Zbl 1425.06002 Banaschewski, Bernhard; Pultr, Aleš 5 2014 \(\ell\)-ring aspects of compactification in pointfree topology. Zbl 1295.06003 Banaschewski, Bernhard; Sioen, Mark 3 2014 The \(P_0\)-reflection of 0-dimensional frames. Zbl 1286.05075 Banaschewski, B. 2 2014 Essential completeness in categories of completely regular frames. Zbl 1307.06004 Banaschewski, B.; Hager, A. W. 9 2013 Some new characterizations of pointfree pseudocompactness. Zbl 1358.54019 Banaschewski, Bernhard; Holgate, David; Sioen, Mark 5 2013 Essential completeness of Archimedean \(\ell\)-groups with weak order unit. Zbl 1284.06040 Banaschewski, B.; Hager, A. W. 5 2013 Countable composition closedness and integer-valued continuous functions in pointfree topology. Zbl 1371.06010 Banaschewski, Bernhard 4 2013 Epimorphisms and maximal covers in categories of compact spaces. Zbl 1284.18007 Banaschewski, B.; Hager, A. W. 2 2013 Extended real functions in pointfree topology. Zbl 1260.06010 Banaschewski, Bernhard; Gutiérrez García, Javier; Picado, Jorge 11 2012 Compact Hausdorff approach frames. Zbl 1236.06006 Banaschewski, Bernhard; Lowen, Robert; Van Olmen, Christophe 1 2012 Completion and Samuel compactification of nearness and uniform frames. Zbl 1316.06008 Banaschewski, Bernhard; Pultr, Aleš 1 2012 Rings of continuous functions on \(\sigma \)-frames. Zbl 1218.06007 Banaschewski, Bernhard; Gilmour, Christopher 3 2011 On the sheaf characterization of Gelfand rings. Zbl 1274.13043 Banaschewski, B.; Vermeulen, J. C. C. 2 2011 \(pm\)-rings and the prime ideal theorem. Zbl 1231.13022 Banaschewski, B. 1 2011 Pointfree aspects of the \(T_D\) axiom of classical topology. Zbl 1274.54068 Banaschewski, Bernhard; Pultr, Aleš 15 2010 Ring ideals and the Stone-Čech compactification in pointfree topology. Zbl 1206.06005 Banaschewski, Bernhard; Sioen, Mark 9 2010 On the strong amalgamation of Boolean algebras. Zbl 1204.06007 Banaschewski, B. 2 2010 Approximate maps, filter monad, and a representation of localic maps. Zbl 1240.06038 Banaschewski, Bernhard; Pultr, Aleš 1 2010 A new aspect of the cozero lattice in pointfree topology. Zbl 1175.06004 Banaschewski, B. 14 2009 Oz in pointfree topology. Zbl 1182.06002 Banaschewski, Bernhard; Dube, Themba; Gilmour, Christopher; Walters-Wayland, Joanne 11 2009 Injectivity of Archimedean \(\ell \)-groups with order unit. Zbl 1192.06013 Banaschewski, B.; Hager, A. W. 3 2009 On the function rings of pointfree topology. Zbl 1155.06008 Banaschewski, Bernhard 7 2008 Regularity in approach theory. Zbl 1164.54010 Banaschewski, B.; Lowen, R.; van Olmen, C. 5 2007 The shrinking principle and the axiom of choice. Zbl 1124.03023 Banaschewski, Bernhard; Schuster, Peter 4 2007 The Stone-Čech compactification and the cozero lattice in pointfree topology. Zbl 1151.54021 Banaschewski, B. 1 2007 On Lindelöf uniform frames and the axiom of countable choice. Zbl 1129.54001 Banaschewski, B.; Walters-Wayland, J. L. 1 2007 A globalisation of the Gelfand duality theorem. Zbl 1103.18001 Banaschewski, Bernhard; Mulvey, Christopher J. 22 2006 Sober approach spaces. Zbl 1114.54007 Banaschewski, B.; Lowen, R.; Van Olmen, C. 14 2006 Epimorphisms of uniform frames. Zbl 1102.18004 Banaschewski, B.; Giuli, E.; Pultr, A. 1 2006 On the function ring functor in pointfree topology. Zbl 1158.54308 Banaschewski, Bernhard 38 2005 Projective frames: a general view. Zbl 1104.06006 Banaschewski, B. 7 2005 Variants of compactness in pointfree topology. Zbl 1152.54311 Banaschewski, Bernard; Hong, Sung Sa 2 2005 Excluded middle versus choice in a topos. Zbl 1062.03047 Banaschewski, Bernhard 1 2005 Ring theory and pointfree topology. Zbl 1040.06004 Banaschewski, B. 9 2004 On weak lattice and frame homomorphisms. Zbl 1079.06010 Banaschewski, Bernhard; Pultr, Aleš 5 2004 A cancellation law for partially ordered sets and \(T_0\) spaces. Zbl 1052.06001 Banaschewski, B.; Lowen, R. 3 2004 Uniform completion in pointfree topology. Zbl 1034.06008 Banaschewski, B. 40 2003 Completeness properties of function rings in pointfree topology. Zbl 1098.06006 Banaschewski, Bernhard; Hong, Sung Sa 22 2003 A constructive view of complete regularity. Zbl 1060.54015 Banaschewski, Bernhard; Pultr, Aleš 6 2003 The Stone-Čech compactification of locales. III. Zbl 1036.54006 Banaschewski, Bernhard; Mulvey, Christopher J. 4 2003 On the normal completion of a Boolean algebra. Zbl 1018.06008 Banaschewski, B.; Ebrahimi, M. M.; Mahmoudi, M. 2 2003 On the Booleanization of a finite distributive lattice. Zbl 1060.06017 Banaschewski, B.; Vermeulen, J. J. C. 2 2003 Remarks on the frame envelope of a sigma-frame. Zbl 1008.54014 Banaschewski, B.; Matutu, P. 1 2003 Functorial maximal spectra. Zbl 0998.06007 Banaschewski, B. 15 2002 General filters and strict extensions in pointfree topology. Zbl 1029.06005 Banaschewski, Bernhard; Hong, Sung Sa 4 2002 Stone’s real Gelfand duality in pointfree topology. Zbl 1074.06002 Banaschewski, B. 3 2002 Realcompactness and the cozero part of a frame. Zbl 0978.54019 Banaschewski, Bernhard; Gilmour, Christopher 49 2001 Cozero bases of frames. Zbl 0964.54020 Banaschewski, Bernhard; Gilmour, Christopher 23 2001 Functorial uniformities on strongly zero-dimensional frames. Zbl 0993.54026 Banaschewski, B.; Brümmer, G. C. L. 10 2001 The axiom of countable choice and pointfree topology. Zbl 0976.03054 Banaschewski, Bernhard 7 2001 \(f\)-rings and the Stone-Weierstrass theorem. Zbl 0989.06012 Banaschewski, B. 5 2001 Adjointness aspects of the down-set functor. Zbl 0985.18003 Banaschewski, B.; Pultr, A. 1 2001 Gelfand and exchange rings: their spectra in pointfree topology. Zbl 1271.13052 Banaschewski, Bernhard 34 2000 The spectral theory of commutative \(C^*\)-algebras: The constructive spectrum. Zbl 0977.18003 Banaschewski, Bernhard; Mulvey, Christopher J. 16 2000 The spectral theory of commutative \(C^*\)-algebras: The constructive Gelfand-Mazur theorem. Zbl 0977.18004 Banaschewski, Bernhard; Mulvey, Christopher J. 14 2000 Extension by continuity in pointfree topology. Zbl 0974.54007 Banaschewski, B.; Hong, S. S. 6 2000 A uniform view of localic realcompactness. Zbl 0953.54026 Banaschewski, B. 9 1999 Filters and strict extensions of frames. Zbl 0931.54022 Banaschewski, Bernhard; Hong, Sung Sa 8 1999 On the completeness of localic groups. Zbl 0981.18010 Banaschewski, B.; Vermeulen, J. J. C. 7 1999 On locally connected frames. Zbl 0984.54025 Banaschewski, B. 1 1999 Proceedings of the symposium on categorical topology, SoCaT 94, University of Cape Town, Rondebosch, South Africa, November 1994. Festschrift on the occasion of the 60th birthday of Guillaume Brümmer. Zbl 0974.00041 1 1999 Propositional logic, frames, and fuzzy algebra. Zbl 0963.03089 Banaschewski, B. 1 1999 On the completion of nearness frames. Zbl 0931.54025 Banaschewski, B.; Hong, S. S.; Pultr, A. 18 1998 A new look at pointfree metrization theorems. Zbl 0937.54019 Banaschewski, B.; Pultr, A. 8 1998 The real numbers in pointfree topology. Zbl 0891.54009 Banaschewski, B. 119 1997 Pointfree topology and the spectra of \(f\)-rings. Zbl 0870.06017 Banaschewski, Bernhard 21 1997 A constructive proof of the Stone-Weierstrass theorem. Zbl 0873.46017 Banaschewski, Bernhard; Mulvey, Christopher J. 10 1997 On Cauchy homomorphisms of nearness frames. Zbl 0866.54025 Banaschewski, B.; Pultr, A. 3 1997 Pseudocompactness and the cozero part of a frame. Zbl 0881.54018 Banaschewski, B.; Gilmour, Ch. 61 1996 Booleanization. Zbl 0848.06010 Banaschewski, B.; Pultr, A. 44 1996 Cauchy points of uniform and nearness frames. Zbl 0861.54023 Banaschewski, B.; Pultr, A. 30 1996 Radical ideals and coherent frames. Zbl 0853.06014 Banaschewski, B. 23 1996 Polynomials and radical ideals. Zbl 0873.13007 Banaschewski, B.; Vermeulen, J. J. C. 7 1996 Booleanization of uniform frames. Zbl 0848.06009 Banaschewski, B.; Pultr, A. 2 1996 Universal categories of uniform and metric locales. Zbl 0854.18005 Banaschewski, B.; Pultr, A. 2 1996 Variants of openness. Zbl 0810.54017 Banaschewski, Bernhard; Pultr, Aleš 30 1994 A new proof that “Krull implies Zorn”. Zbl 0813.03032 Banaschewski, Bernhard 6 1994 On certain localic nuclei. Zbl 0816.06017 Banaschewski, Bernhard 1 1994 Paracompactness revisited. Zbl 0797.54032 Banaschewski, Bernhard; Pultr, Aleš 19 1993 The frame envelope of a \(\sigma\)-frame. Zbl 0779.06009 Banaschewski, Bernhard 14 1993 On Krull’s separation lemma. Zbl 0795.06005 Banaschewski, Bernhard; Erné, Marcel 10 1993 Distributive algebras in linear categories. Zbl 0780.18005 Banaschewski, Bernhard; Pultr, Aleš 2 1993 Supercompactness, products and the axiom of choice. Zbl 0796.54012 Banaschewski, Bernhard 1 1993 Singly generated frame extensions. Zbl 0774.18004 Banaschewski, Bernhard 9 1992 A Stone duality for metric spaces. Zbl 0789.54035 Banaschewski, Bernhard; Pultr, Aleš 7 1992 Bourbaki’s fixpoint lemma reconsidered. Zbl 0779.06004 Banaschewski, Bernhard 3 1992 Algebraic closure without choice. Zbl 0739.03027 Banaschewski, Bernhard 2 1992 Recent results in pointfree topology. Zbl 1250.54001 Banaschewski, Bernhard 1 1992 Compactification and local connectedness of frames. Zbl 0722.54031 Baboolal, D.; Banaschewski, Bernhard 26 1991 Projective and supercoherent frames. Zbl 0744.06006 Banaschewski, Bernhard; Niefield, S. B. 24 1991 Tarski’s fixpoint lemma and combinatorial games. Zbl 0733.90091 Banaschewski, Bernhard; Pultr, Aleš 1 1991 Compactification of frames. Zbl 0722.54018 Banaschewski, Bernhard 45 1990 Samuel compactification and completion of uniform frames. Zbl 0733.54020 Banaschewski, Bernhard; Pultr, Aleš 39 1990 ...and 97 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 844 Authors 73 Banaschewski, Bernhard 68 Dube, Themba 50 Pultr, Aleš 48 Picado, Jorge 29 Gutiérrez García, Javier 26 Erné, Marcel 24 Hager, Anthony W. 23 Adámek, Jiří 22 Martinez, Jorge 21 Bezhanishvili, Guram 20 Estaji, Ali Akbar 19 Naidoo, Inderasan 18 Schauerte, Anneliese 17 Ebrahimi, Mohammad Mehdi 17 Frith, John L. 16 Ball, Richard N. 16 Dikranjan, Dikran N. 15 Herrlich, Horst 15 Ighedo, Oghenetega 14 Kubiak, Tomasz 13 Nelson, Evelyn M. 13 Paseka, Jan 12 Baboolal, Dharmanand 12 Mahmoudi, Mojgan 12 Morandi, Patrick J. 11 Abedi, Mostafa 11 Gehrke, Mai 11 Harding, John 11 Sioen, Mark 10 Mulvey, Christopher J. 10 Schuster, Peter Michael 9 Arrieta, Igor 9 Davey, Brian A. 9 Lowen, Robert 9 McGovern, Warren Wm. 9 Moshier, M. Andrew 9 Sousa, Lurdes 8 Colebunders, Eva 8 Walters-Wayland, Joanne 8 Zhao, Bin 7 Coquand, Thierry 7 Curi, Giovanni 7 Georgescu, George 7 Höhle, Ulrich 7 Mozo Carollo, Imanol 7 Robat Sarpoushi, Maryam 7 Rosický, Jiří 7 Solovyov, Sergey A. 7 Spitters, Bas 7 Stephenson, Robert M. jun. 7 Suarez, Anna Laura 7 Zenk, Eric Richard 6 Almeida, Jorge 6 Bankston, Paul 6 Carai, Luca 6 Dimov, Georgi D. 6 Georgiou, Dimitrios N. 6 He, Wei 6 Hofmann, Dirk 6 Megaritis, Athanasios C. 6 Porst, Hans-Eberhard 6 Reggio, Luca 6 Taylor, Walter F. 6 Tholen, Walter 6 Wick Pelletier, Joan 6 Xi, Wenfei 6 Xia, Changchun 5 Bhattacharjee, Papiya 5 Borceux, Francis 5 Borlido, Célia 5 Brümmer, Guillaume C. L. 5 Carrera, Ricardo E. 5 Choe, Tae Ho 5 Conrad, Paul F. 5 Demirci, Mustafa 5 Ferreira, Maria João 5 Heunen, Chris 5 Johnstone, Peter T. 5 Jung, Achim 5 Madden, James J. 5 Marra, Vincenzo 5 Mugochi, Martin M. 5 Olberding, Bruce M. 5 Priestley, Hilary A. 5 Rival, Ivan 5 Sereti, Fotini 5 Wehrung, Friedrich 5 Wessel, Daniel 5 Yavari, Mahdieh 4 Avilez, Ana Belén 4 Bhutani, Kiran R. 4 Galatos, Nikolaos 4 Gilmour, Christopher R. A. 4 Giuli, Eraldo 4 Haviar, Miroslav 4 Hoffmann, Rudolf- Eberhard 4 Holgate, David B. 4 Hunsaker, Worthen N. 4 Karimi Feizabadi, Abolghasem 4 Landsman, Nicolaas P. ...and 744 more Authors all top 5 Cited in 168 Serials 133 Algebra Universalis 132 Topology and its Applications 109 Journal of Pure and Applied Algebra 100 Applied Categorical Structures 48 Quaestiones Mathematicae 41 Order 27 Fuzzy Sets and Systems 26 Transactions of the American Mathematical Society 25 Cahiers de Topologie et Géométrie Différentielle Catégoriques 24 Semigroup Forum 23 Proceedings of the American Mathematical Society 21 Journal of Algebra 20 Annals of Pure and Applied Logic 17 Communications in Algebra 16 Acta Mathematica Hungarica 14 Archiv der Mathematik 14 Czechoslovak Mathematical Journal 12 Mathematische Annalen 12 Mathematica Slovaca 12 Theoretical Computer Science 12 Journal of Algebra and its Applications 11 Categories and General Algebraic Structures with Applications 9 Advances in Mathematics 9 Mathematische Zeitschrift 9 Studia Logica 8 Bulletin of the Australian Mathematical Society 8 International Journal of Theoretical Physics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Journal of Soviet Mathematics 7 Rocky Mountain Journal of Mathematics 7 The Journal of Symbolic Logic 7 Rendiconti del Seminario Matematico della Università di Padova 7 Theory and Applications of Categories 6 Discrete Mathematics 6 Israel Journal of Mathematics 6 Journal of Mathematical Analysis and Applications 6 Periodica Mathematica Hungarica 6 Journal of the Australian Mathematical Society 6 Journal of Algebraic Systems 5 MSCS. Mathematical Structures in Computer Science 5 Archive for Mathematical Logic 5 Journal of Mathematical Sciences (New York) 5 Soft Computing 5 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Computer and System Sciences 4 Manuscripta Mathematica 4 Notre Dame Journal of Formal Logic 4 Bulletin of the Iranian Mathematical Society 4 Forum Mathematicum 4 Filomat 4 Bulletin of the American Mathematical Society 4 Logical Methods in Computer Science 4 Open Mathematics 3 Algebra and Logic 3 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Topology Proceedings 3 Mathematical Logic Quarterly (MLQ) 3 Hacettepe Journal of Mathematics and Statistics 3 Foundations of Physics 3 Proceedings of the Japan Academy 3 Applied General Topology 2 Communications in Mathematical Physics 2 Houston Journal of Mathematics 2 Lithuanian Mathematical Journal 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Acta Mathematica 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Advances in Applied Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 The Bulletin of Symbolic Logic 2 Acta Mathematica Sinica. English Series 2 The Journal of Logic and Algebraic Programming 2 Journal of Intelligent and Fuzzy Systems 2 Asian-European Journal of Mathematics 2 Confluentes Mathematici 2 Journal of Commutative Algebra 2 Journal of Algebra and Related Topics 2 Algebraic Structures and their Applications 2 Korean 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 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 Collectanea Mathematica ...and 68 more Serials all top 5 Cited in 40 Fields 707 Order, lattices, ordered algebraic structures (06-XX) 572 General topology (54-XX) 361 Category theory; homological algebra (18-XX) 187 Mathematical logic and foundations (03-XX) 139 General algebraic systems (08-XX) 100 Commutative algebra (13-XX) 85 Group theory and generalizations (20-XX) 77 Functional analysis (46-XX) 66 Associative rings and algebras (16-XX) 39 Computer science (68-XX) 35 Topological groups, Lie groups (22-XX) 18 Quantum theory (81-XX) 13 History and biography (01-XX) 9 Combinatorics (05-XX) 9 Field theory and polynomials (12-XX) 9 Real functions (26-XX) 8 Measure and integration (28-XX) 7 Number theory (11-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Algebraic topology (55-XX) 4 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-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 Dynamical systems and ergodic theory (37-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 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-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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