Edit Profile (opens in new tab) Bankston, Paul Compute Distance To: Compute Author ID: bankston.paul Published as: Bankston, Paul Documents Indexed: 61 Publications since 1976 Reviewing Activity: 144 Reviews Co-Authors: 10 Co-Authors with 12 Joint Publications 252 Co-Co-Authors all top 5 Co-Authors 49 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 44 Publications have been cited 184 times in 86 Documents Cited by ▼ Year ▼ Reduced coproducts of compact Hausdorff spaces. Zbl 0634.54007Bankston, Paul 21 1987 Ultraproducts in topology. Zbl 0364.54005Bankston, Paul 14 1977 Road systems and betweenness. Zbl 1302.08002Bankston, Paul 12 2013 Some obstacles to duality in topological algebra. Zbl 0452.18003Bankston, Paul 10 1982 The antisymmetry betweenness axiom and Hausdorff continua. Zbl 1309.54013Bankston, Paul 10 2015 The Chang-Łoś-Suszko theorem in a topological setting. Zbl 1093.03014Bankston, Paul 7 2006 On minimally free algebras. Zbl 0563.08009Bankston, Paul; Schutt, Richard 6 1985 Expressive power in first order topology. Zbl 0576.03023Bankston, Paul 6 1984 Topological partitions. Zbl 0406.54002Bankston, Paul; McGovern, Richard J. 6 1979 Taxonomies of model-theoretically defined topological properties. Zbl 0712.03026Bankston, Paul 6 1990 When Hausdorff continua have no gaps. Zbl 1301.54047Bankston, Paul 6 2014 A hierarchy of maps between compacta. Zbl 0962.03024Bankston, Paul 5 1999 Topological reduced products via good ultrafilters. Zbl 0398.54003Bankston, Paul 5 1979 The total negation of a topological property. Zbl 0405.54003Bankston, Paul 5 1979 Some applications of the ultrapower theorem to the theory of compacta. Zbl 0968.54017Bankston, Paul 5 2000 A note on large minimally free algebras. Zbl 0693.08005Bankston, Paul 4 1989 On categories of algebras equivalent to a quasivariety. Zbl 0517.18011Bankston, Paul; Fox, Ralph 4 1983 Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups. Zbl 0718.03022Bankston, Paul 4 1990 Co-elementary equivalence, co-elementary maps, and generalized arcs. Zbl 0888.03019Bankston, Paul 3 1997 Ultracoproduct continua and their regular subcontinua. Zbl 1352.54021Bankston, Paul 3 2016 Model-theoretic characterizations of arcs and simple closed curves. Zbl 0691.03017Bankston, Paul 3 1988 Obstacles to duality between classes of relational structures. Zbl 0522.08008Bankston, Paul 3 1983 Minimal freeness and commutativity. Zbl 0784.08003Bankston, Paul 3 1992 Semicontinuity of betweenness functions. Zbl 1398.54035Bankston, Paul; McCluskey, Aisling; Smith, Richard J. 2 2018 Clopen sets in hyperspaces. Zbl 0296.54006Bankston, Paul 2 1976 On the classification of minimally free rings of continuous functions. Zbl 0693.54014Bankston, Paul; McCoy, Robert A. 2 1990 Chainability and Hemmingsen’s theorem. Zbl 1168.54322Banakh, Taras; Bankston, Paul; Raines, Brian; Ruitenburg, Wim 2 2006 Extreme points of a continuum. Zbl 1415.54018Anderson, Daron; Bankston, Paul 2 2019 On partitions of plane sets into simple closed curves. Zbl 0513.54005Bankston, Paul 2 1983 Notions of relative ubiquity for invariant sets of relational structures. Zbl 0726.03025Bankston, Paul; Ruitenburg, Wim 2 1990 \(H\)-enrichments of topologies. Zbl 0747.54001Bankston, Paul; McCoy, Robert A. 2 1991 Defining topological properties via interactive mapping classes. Zbl 1187.54014Bankston, Paul 2 2009 Not every co-existential map is confluent. Zbl 1227.54018Bankston, Paul 2 2010 On the first-order expressibility of lattice properties related to unicoherence in continua. Zbl 1219.54036Bankston, Paul 2 2011 Base-free formulas in the lattice-theoretic study of compacta. Zbl 1220.03038Bankston, Paul 2 2011 \(H\)-enrichments and their homeomorphism groups. II. Zbl 0856.54001Bankston, Paul 1 1993 Continua and the co-elementary hierarchy of maps. Zbl 1003.54017Bankston, Paul 1 2000 Dendrites, topological graphs, and 2-dominance. Zbl 1185.54012Bankston, Paul 1 2009 On ”ultraproducts in topology”. Zbl 0405.54004Bankston, Paul 1 1979 Coarse topologies in nonstandard extensions via separative ultrafilters. Zbl 0496.54040Bankston, Paul 1 1983 \(H\)-enrichments and their homeomorphism groups. Zbl 0853.54034Bankston, Paul 1 1992 Pseudobases in direct powers of an algebra. Zbl 0766.08005Bankston, Paul 1 1993 Modeling nonintersective adjectives using operator logics. Zbl 1303.03063Bankston, Paul 1 2003 Mapping properties of co-existentially closed continua. Zbl 1094.54015Bankston, Paul 1 2005 Extreme points of a continuum. Zbl 1415.54018Anderson, Daron; Bankston, Paul 2 2019 Semicontinuity of betweenness functions. Zbl 1398.54035Bankston, Paul; McCluskey, Aisling; Smith, Richard J. 2 2018 Ultracoproduct continua and their regular subcontinua. Zbl 1352.54021Bankston, Paul 3 2016 The antisymmetry betweenness axiom and Hausdorff continua. Zbl 1309.54013Bankston, Paul 10 2015 When Hausdorff continua have no gaps. Zbl 1301.54047Bankston, Paul 6 2014 Road systems and betweenness. Zbl 1302.08002Bankston, Paul 12 2013 On the first-order expressibility of lattice properties related to unicoherence in continua. Zbl 1219.54036Bankston, Paul 2 2011 Base-free formulas in the lattice-theoretic study of compacta. Zbl 1220.03038Bankston, Paul 2 2011 Not every co-existential map is confluent. Zbl 1227.54018Bankston, Paul 2 2010 Defining topological properties via interactive mapping classes. Zbl 1187.54014Bankston, Paul 2 2009 Dendrites, topological graphs, and 2-dominance. Zbl 1185.54012Bankston, Paul 1 2009 The Chang-Łoś-Suszko theorem in a topological setting. Zbl 1093.03014Bankston, Paul 7 2006 Chainability and Hemmingsen’s theorem. Zbl 1168.54322Banakh, Taras; Bankston, Paul; Raines, Brian; Ruitenburg, Wim 2 2006 Mapping properties of co-existentially closed continua. Zbl 1094.54015Bankston, Paul 1 2005 Modeling nonintersective adjectives using operator logics. Zbl 1303.03063Bankston, Paul 1 2003 Some applications of the ultrapower theorem to the theory of compacta. Zbl 0968.54017Bankston, Paul 5 2000 Continua and the co-elementary hierarchy of maps. Zbl 1003.54017Bankston, Paul 1 2000 A hierarchy of maps between compacta. Zbl 0962.03024Bankston, Paul 5 1999 Co-elementary equivalence, co-elementary maps, and generalized arcs. Zbl 0888.03019Bankston, Paul 3 1997 \(H\)-enrichments and their homeomorphism groups. II. Zbl 0856.54001Bankston, Paul 1 1993 Pseudobases in direct powers of an algebra. Zbl 0766.08005Bankston, Paul 1 1993 Minimal freeness and commutativity. Zbl 0784.08003Bankston, Paul 3 1992 \(H\)-enrichments and their homeomorphism groups. Zbl 0853.54034Bankston, Paul 1 1992 \(H\)-enrichments of topologies. Zbl 0747.54001Bankston, Paul; McCoy, Robert A. 2 1991 Taxonomies of model-theoretically defined topological properties. Zbl 0712.03026Bankston, Paul 6 1990 Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups. Zbl 0718.03022Bankston, Paul 4 1990 On the classification of minimally free rings of continuous functions. Zbl 0693.54014Bankston, Paul; McCoy, Robert A. 2 1990 Notions of relative ubiquity for invariant sets of relational structures. Zbl 0726.03025Bankston, Paul; Ruitenburg, Wim 2 1990 A note on large minimally free algebras. Zbl 0693.08005Bankston, Paul 4 1989 Model-theoretic characterizations of arcs and simple closed curves. Zbl 0691.03017Bankston, Paul 3 1988 Reduced coproducts of compact Hausdorff spaces. Zbl 0634.54007Bankston, Paul 21 1987 On minimally free algebras. Zbl 0563.08009Bankston, Paul; Schutt, Richard 6 1985 Expressive power in first order topology. Zbl 0576.03023Bankston, Paul 6 1984 On categories of algebras equivalent to a quasivariety. Zbl 0517.18011Bankston, Paul; Fox, Ralph 4 1983 Obstacles to duality between classes of relational structures. Zbl 0522.08008Bankston, Paul 3 1983 On partitions of plane sets into simple closed curves. Zbl 0513.54005Bankston, Paul 2 1983 Coarse topologies in nonstandard extensions via separative ultrafilters. Zbl 0496.54040Bankston, Paul 1 1983 Some obstacles to duality in topological algebra. Zbl 0452.18003Bankston, Paul 10 1982 Topological partitions. Zbl 0406.54002Bankston, Paul; McGovern, Richard J. 6 1979 Topological reduced products via good ultrafilters. Zbl 0398.54003Bankston, Paul 5 1979 The total negation of a topological property. Zbl 0405.54003Bankston, Paul 5 1979 On ”ultraproducts in topology”. Zbl 0405.54004Bankston, Paul 1 1979 Ultraproducts in topology. Zbl 0364.54005Bankston, Paul 14 1977 Clopen sets in hyperspaces. Zbl 0296.54006Bankston, Paul 2 1976 all cited Publications top 5 cited Publications all top 5 Cited by 99 Authors 28 Bankston, Paul 3 Anderson, Daron 3 De Baets, Bernard 3 McCluskey, Aisling E. 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 Tikuisis, Aaron Peter 2 Wang, Shutang 2 Winter, Wilhelm 1 Artamonov, Vyacheslav Aleksandrovich 1 Azimipour, Sanaz 1 Bagheri, Seyed Mohammad 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 Chodounský, David 1 Davis, Sheldon W. 1 De Siqueira Pedra, Walter 1 Dolinka, Igor 1 Droste, Manfred 1 Dugas, Manfred H. 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 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 Robert, Leonel 1 Rose, David Alon 1 Rosický, Jiří 1 Ruitenburg, Wim B. G. 1 Sato, Yasuhiko 1 Schoop, Dominik J. 1 Scowcroft, Philip 1 Sharma, Prem Lata 1 Sharma, Saroj 1 Shelah, Saharon 1 Smith, Richard James 1 Szeptycki, Paul J. 1 Taniyama, Kouki 1 van der Steeg, Berd 1 van Mill, Jan 1 Vannucci, Stefano 1 Vasey, Sebastien 1 Vechtomov, Evgeniĭ Mikhaĭlovich 1 White, Stuart Andrew all top 5 Cited in 36 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 2 Fuzzy Sets and Systems 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 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 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 Journal of Convex Analysis 1 The Bulletin of Symbolic Logic 1 Journal of the Institute of Mathematics of Jussieu 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences all top 5 Cited in 18 Fields 54 General topology (54-XX) 45 Mathematical logic and foundations (03-XX) 17 Functional analysis (46-XX) 16 General algebraic systems (08-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 6 Category theory; homological algebra (18-XX) 5 Topological groups, Lie groups (22-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 1 Field theory and polynomials (12-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