Edit Profile (opens in new tab) Bankston, Paul Co-Author Distance Author ID: bankston.paul Published as: Bankston, Paul Documents Indexed: 62 Publications since 1976, including 1 Additional arXiv Preprint Reviewing Activity: 146 Reviews Co-Authors: 10 Co-Authors with 12 Joint Publications 266 Co-Co-Authors all top 5 Co-Authors 50 single-authored 3 McCluskey, Aisling E. 2 Anderson, Daron 2 Fox, Ralph 2 McCoy, Robert A. 2 Ruitenburg, Wim B. G. 1 Banakh, Taras Onufrievich 1 McGovern, Richard J. 1 Raines, Brian E. 1 Schutt, Richard 1 Smith, Richard James all top 5 Serials 8 Topology and its Applications 7 Proceedings of the American Mathematical Society 6 The Journal of Symbolic Logic 6 Topology Proceedings 4 Houston Journal of Mathematics 4 Algebra Universalis 4 General Topology and its Applications 3 Canadian Journal of Mathematics 3 Archive for Mathematical Logic 2 Illinois Journal of Mathematics 2 Journal of Pure and Applied Algebra 1 American Mathematical Monthly 1 Fundamenta Mathematicae 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Applied Categorical Structures 1 Journal of Convex Analysis 1 Bulletin of Mathematical Sciences 1 The Review of Modern Logic all top 5 Fields 50 General topology (54-XX) 32 Mathematical logic and foundations (03-XX) 15 General algebraic systems (08-XX) 7 Category theory; homological algebra (18-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 198 times in 93 Documents Cited by ▼ Year ▼ Reduced coproducts of compact Hausdorff spaces. Zbl 0634.54007 Bankston, Paul 22 1987 Road systems and betweenness. Zbl 1302.08002 Bankston, Paul 16 2013 Ultraproducts in topology. Zbl 0364.54005 Bankston, Paul 15 1977 The antisymmetry betweenness axiom and Hausdorff continua. Zbl 1309.54013 Bankston, Paul 13 2015 Some obstacles to duality in topological algebra. Zbl 0452.18003 Bankston, Paul 10 1982 The Chang-Łoś-Suszko theorem in a topological setting. Zbl 1093.03014 Bankston, Paul 7 2006 When Hausdorff continua have no gaps. Zbl 1301.54047 Bankston, Paul 7 2014 On minimally free algebras. Zbl 0563.08009 Bankston, Paul; Schutt, Richard 6 1985 Expressive power in first order topology. Zbl 0576.03023 Bankston, Paul 6 1984 Taxonomies of model-theoretically defined topological properties. Zbl 0712.03026 Bankston, Paul 6 1990 Topological partitions. Zbl 0406.54002 Bankston, Paul; McGovern, Richard J. 6 1979 On categories of algebras equivalent to a quasivariety. Zbl 0517.18011 Bankston, Paul; Fox, Ralph 5 1983 Some applications of the ultrapower theorem to the theory of compacta. Zbl 0968.54017 Bankston, Paul 5 2000 A hierarchy of maps between compacta. Zbl 0962.03024 Bankston, Paul 5 1999 Topological reduced products via good ultrafilters. Zbl 0398.54003 Bankston, Paul 5 1979 The total negation of a topological property. Zbl 0405.54003 Bankston, Paul 5 1979 A note on large minimally free algebras. Zbl 0693.08005 Bankston, Paul 4 1989 Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups. Zbl 0718.03022 Bankston, Paul 4 1990 Obstacles to duality between classes of relational structures. Zbl 0522.08008 Bankston, Paul 3 1983 Model-theoretic characterizations of arcs and simple closed curves. Zbl 0691.03017 Bankston, Paul 3 1988 Co-elementary equivalence, co-elementary maps, and generalized arcs. Zbl 0888.03019 Bankston, Paul 3 1997 Minimal freeness and commutativity. Zbl 0784.08003 Bankston, Paul 3 1992 Semicontinuity of betweenness functions. Zbl 1398.54035 Bankston, Paul; McCluskey, Aisling; Smith, Richard J. 3 2018 Ultracoproduct continua and their regular subcontinua. Zbl 1352.54021 Bankston, Paul 3 2016 Base-free formulas in the lattice-theoretic study of compacta. Zbl 1220.03038 Bankston, Paul 2 2011 On partitions of plane sets into simple closed curves. Zbl 0513.54005 Bankston, Paul 2 1983 Not every co-existential map is confluent. Zbl 1227.54018 Bankston, Paul 2 2010 On the first-order expressibility of lattice properties related to unicoherence in continua. Zbl 1219.54036 Bankston, Paul 2 2011 On the classification of minimally free rings of continuous functions. Zbl 0693.54014 Bankston, Paul; McCoy, Robert A. 2 1990 Defining topological properties via interactive mapping classes. Zbl 1187.54014 Bankston, Paul 2 2009 Clopen sets in hyperspaces. Zbl 0296.54006 Bankston, Paul 2 1976 Chainability and Hemmingsen’s theorem. Zbl 1168.54322 Banakh, Taras; Bankston, Paul; Raines, Brian; Ruitenburg, Wim 2 2006 Notions of relative ubiquity for invariant sets of relational structures. Zbl 0726.03025 Bankston, Paul; Ruitenburg, Wim 2 1990 \(H\)-enrichments of topologies. Zbl 0747.54001 Bankston, Paul; McCoy, Robert A. 2 1991 Extreme points of a continuum. Zbl 1415.54018 Anderson, Daron; Bankston, Paul 2 2019 Pseudobases in direct powers of an algebra. Zbl 0766.08005 Bankston, Paul 1 1993 Coarse topologies in nonstandard extensions via separative ultrafilters. Zbl 0496.54040 Bankston, Paul 1 1983 Dendrites, topological graphs, and 2-dominance. Zbl 1185.54012 Bankston, Paul 1 2009 Mapping properties of co-existentially closed continua. Zbl 1094.54015 Bankston, Paul 1 2005 \(H\)-enrichments and their homeomorphism groups. Zbl 0853.54034 Bankston, Paul 1 1992 Topological reduced products and the GCH. Zbl 0401.54005 Bankston, Paul 1 1976 On ”ultraproducts in topology”. Zbl 0405.54004 Bankston, Paul 1 1979 \(H\)-enrichments and their homeomorphism groups. II. Zbl 0856.54001 Bankston, Paul 1 1993 Modeling nonintersective adjectives using operator logics. Zbl 1303.03063 Bankston, Paul 1 2003 Continua and the co-elementary hierarchy of maps. Zbl 1003.54017 Bankston, Paul 1 2000 Convexity in topological betweenness structures. Zbl 1483.54017 Anderson, Daron; Bankston, Paul; McCluskey, Aisling 1 2021 Convexity in topological betweenness structures. Zbl 1483.54017 Anderson, Daron; Bankston, Paul; McCluskey, Aisling 1 2021 Extreme points of a continuum. Zbl 1415.54018 Anderson, Daron; Bankston, Paul 2 2019 Semicontinuity of betweenness functions. Zbl 1398.54035 Bankston, Paul; McCluskey, Aisling; Smith, Richard J. 3 2018 Ultracoproduct continua and their regular subcontinua. Zbl 1352.54021 Bankston, Paul 3 2016 The antisymmetry betweenness axiom and Hausdorff continua. Zbl 1309.54013 Bankston, Paul 13 2015 When Hausdorff continua have no gaps. Zbl 1301.54047 Bankston, Paul 7 2014 Road systems and betweenness. Zbl 1302.08002 Bankston, Paul 16 2013 Base-free formulas in the lattice-theoretic study of compacta. Zbl 1220.03038 Bankston, Paul 2 2011 On the first-order expressibility of lattice properties related to unicoherence in continua. Zbl 1219.54036 Bankston, Paul 2 2011 Not every co-existential map is confluent. Zbl 1227.54018 Bankston, Paul 2 2010 Defining topological properties via interactive mapping classes. Zbl 1187.54014 Bankston, Paul 2 2009 Dendrites, topological graphs, and 2-dominance. Zbl 1185.54012 Bankston, Paul 1 2009 The Chang-Łoś-Suszko theorem in a topological setting. Zbl 1093.03014 Bankston, Paul 7 2006 Chainability and Hemmingsen’s theorem. Zbl 1168.54322 Banakh, Taras; Bankston, Paul; Raines, Brian; Ruitenburg, Wim 2 2006 Mapping properties of co-existentially closed continua. Zbl 1094.54015 Bankston, Paul 1 2005 Modeling nonintersective adjectives using operator logics. Zbl 1303.03063 Bankston, Paul 1 2003 Some applications of the ultrapower theorem to the theory of compacta. Zbl 0968.54017 Bankston, Paul 5 2000 Continua and the co-elementary hierarchy of maps. Zbl 1003.54017 Bankston, Paul 1 2000 A hierarchy of maps between compacta. Zbl 0962.03024 Bankston, Paul 5 1999 Co-elementary equivalence, co-elementary maps, and generalized arcs. Zbl 0888.03019 Bankston, Paul 3 1997 Pseudobases in direct powers of an algebra. Zbl 0766.08005 Bankston, Paul 1 1993 \(H\)-enrichments and their homeomorphism groups. II. Zbl 0856.54001 Bankston, Paul 1 1993 Minimal freeness and commutativity. Zbl 0784.08003 Bankston, Paul 3 1992 \(H\)-enrichments and their homeomorphism groups. Zbl 0853.54034 Bankston, Paul 1 1992 \(H\)-enrichments of topologies. Zbl 0747.54001 Bankston, Paul; McCoy, Robert A. 2 1991 Taxonomies of model-theoretically defined topological properties. Zbl 0712.03026 Bankston, Paul 6 1990 Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups. Zbl 0718.03022 Bankston, Paul 4 1990 On the classification of minimally free rings of continuous functions. Zbl 0693.54014 Bankston, Paul; McCoy, Robert A. 2 1990 Notions of relative ubiquity for invariant sets of relational structures. Zbl 0726.03025 Bankston, Paul; Ruitenburg, Wim 2 1990 A note on large minimally free algebras. Zbl 0693.08005 Bankston, Paul 4 1989 Model-theoretic characterizations of arcs and simple closed curves. Zbl 0691.03017 Bankston, Paul 3 1988 Reduced coproducts of compact Hausdorff spaces. Zbl 0634.54007 Bankston, Paul 22 1987 On minimally free algebras. Zbl 0563.08009 Bankston, Paul; Schutt, Richard 6 1985 Expressive power in first order topology. Zbl 0576.03023 Bankston, Paul 6 1984 On categories of algebras equivalent to a quasivariety. Zbl 0517.18011 Bankston, Paul; Fox, Ralph 5 1983 Obstacles to duality between classes of relational structures. Zbl 0522.08008 Bankston, Paul 3 1983 On partitions of plane sets into simple closed curves. Zbl 0513.54005 Bankston, Paul 2 1983 Coarse topologies in nonstandard extensions via separative ultrafilters. Zbl 0496.54040 Bankston, Paul 1 1983 Some obstacles to duality in topological algebra. Zbl 0452.18003 Bankston, Paul 10 1982 Topological partitions. Zbl 0406.54002 Bankston, Paul; McGovern, Richard J. 6 1979 Topological reduced products via good ultrafilters. Zbl 0398.54003 Bankston, Paul 5 1979 The total negation of a topological property. Zbl 0405.54003 Bankston, Paul 5 1979 On ”ultraproducts in topology”. Zbl 0405.54004 Bankston, Paul 1 1979 Ultraproducts in topology. Zbl 0364.54005 Bankston, Paul 15 1977 Clopen sets in hyperspaces. Zbl 0296.54006 Bankston, Paul 2 1976 Topological reduced products and the GCH. Zbl 0401.54005 Bankston, Paul 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 107 Authors 29 Bankston, Paul 4 McCluskey, Aisling E. 3 Anderson, Daron 3 De Baets, Bernard 3 Pérez-Fernández, Raúl 3 Sudoplatov, Sergeĭ Vladimirovich 3 Vignati, Alessandro 3 Zhang, Huapeng 2 Aviles Lopez, Antonio 2 Brunner, Norbert 2 Cabello Sánchez, Félix 2 Castillo, Jesús M. F. 2 Eagle, Christopher J. 2 Galatos, Nikolaos 2 Goldbring, Isaac 2 Lupini, Martino 2 Protasov, Igor Volodymyrovych 2 Raftery, James G. 2 Robert, Leonel 2 Szeptycki, Paul J. 2 Tikuisis, Aaron Peter 2 Wang, Shutang 2 Winter, Wilhelm 1 Agliano, Paolo 1 Antoine, Ramon 1 Artamonov, Vyacheslav Aleksandrovich 1 Azimipour, Sanaz 1 Bagheri, Seyed Mohammad 1 Balchev, Stanislav 1 Banakh, Taras Onufrievich 1 Banaschewski, Bernhard 1 Bartošová, Dana 1 Bennett, Harold R. 1 Borodulin-Nadzieja, Piotr 1 Bosa, Joan 1 Brian, William Rea 1 Brown, Nathanial P. 1 Bru, Jean-Bernard 1 Bruno, Jorge L. 1 Buhagiar, David 1 Chodounský, David 1 Davis, Sheldon W. 1 Dolinka, Igor 1 Droste, Manfred 1 Dugas, Manfred H. 1 Džamonja, Mirna 1 Farah, Ilijas 1 Feigelstock, Shalom 1 Fox, Ralph 1 Francez, Nissim 1 Getz, Alan 1 Glasner, Eli 1 González Ortiz, Manuel 1 Guzmán González, Osvaldo 1 Hamlett, T. R. 1 Hart, Bradd T. 1 Hart, Klaas Pieter 1 Hoehn, Logan C. 1 Hrušák, Michael 1 Hušek, Miroslav 1 Kříž, Igor 1 Królicki, Konrad 1 Krupski, Paweł 1 Kurilić, Miloš S. 1 Kuske, Dietrich 1 Lieberman, Michael Joseph 1 Lutzer, David J. 1 Malyutin, Andrei Valer’evich 1 Marra, Vincenzo 1 Mašulović, Dragan 1 McCoy, Robert A. 1 Megrelishvili, Michael G. 1 Milovich, David 1 Mofidi, Alireza 1 Moreno, Yolanda 1 Mukhin, Yurii N. 1 Naumov, Pavel G. 1 Perera, Francesc 1 Pestov, Vladimir G. 1 Plichko, Anatoliĭ Mykolaĭovych 1 Pratt, Ian A. 1 Pultr, Aleš 1 Raines, Brian E. 1 Ramos-García, Ulises Ariet 1 Reggio, Luca 1 Reichel, Hans-Christian 1 Reilly, Ivan Leon 1 Rose, David Alon 1 Rosický, Jiří 1 Ruitenburg, Wim B. G. 1 Sato, Yasuhiko 1 Schoop, Dominik J. 1 Scowcroft, Philip 1 Shakir, Qays R. 1 Sharma, P. L. 1 Sharma, Saroj 1 Shelah, Saharon 1 Shi, Yi 1 Smith, Richard James 1 Taniyama, Kouki ...and 7 more Authors all top 5 Cited in 39 Serials 20 Topology and its Applications 6 Algebra Universalis 5 The Journal of Symbolic Logic 5 Proceedings of the American Mathematical Society 5 Archive for Mathematical Logic 4 Journal of Pure and Applied Algebra 4 Transactions of the American Mathematical Society 3 Fuzzy Sets and Systems 3 Journal of Functional Analysis 2 Journal of Combinatorial Theory. Series A 2 Journal of Soviet Mathematics 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Annals of Pure and Applied Logic 2 Journal of Convex Analysis 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Notre Dame Journal of Formal Logic 1 Results in Mathematics 1 Mathematical Social Sciences 1 Order 1 Revista Matemática Iberoamericana 1 Journal of Logic, Language and Information 1 Topology Proceedings 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Mathematical Logic Quarterly (MLQ) 1 The Bulletin of Symbolic Logic 1 Journal of the Institute of Mathematics of Jussieu 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Sarajevo Journal of Mathematics 1 Science China. Mathematics 1 Applied General Topology 1 Bulletin of Mathematical Sciences all top 5 Cited in 19 Fields 58 General topology (54-XX) 48 Mathematical logic and foundations (03-XX) 19 General algebraic systems (08-XX) 19 Functional analysis (46-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 6 Category theory; homological algebra (18-XX) 6 Convex and discrete geometry (52-XX) 5 Combinatorics (05-XX) 5 Topological groups, Lie groups (22-XX) 5 Manifolds and cell complexes (57-XX) 4 Group theory and generalizations (20-XX) 3 Geometry (51-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year