Edit Profile (opens in new tab) Tholen, Walter Compute Distance To: Compute Author ID: tholen.walter Published as: Tholen, Walter; Tholen, W. Documents Indexed: 155 Publications since 1974, including 5 Books 11 Contributions as Editor Reviewing Activity: 105 Reviews Biographic References: 1 Publication Co-Authors: 71 Co-Authors with 126 Joint Publications 925 Co-Co-Authors all top 5 Co-Authors 39 single-authored 18 Clementino, Maria Manuel 16 Janelidze, George 11 Rosický, Jiří 10 Börger, Reinhard 8 Hofmann, Dirk 7 Adámek, Jiří 7 Giuli, Eraldo 5 Sobral, Manuela 4 Dikranjan, Dikran N. 4 Gran, Marino 4 Greve, Georg 4 Herrlich, Horst 4 Hu, Hongde 4 Hušek, Miroslav 4 Lai, Hongliang 4 Márki, László 4 Pumplün, Dieter 4 Wischnewsky, Manfred Bernd 4 Wolff, Harvey 3 Colebunders, Eva 3 Dimov, Georgi D. 3 Hosseini, Seyed Naser 3 Korostenski, Mareli 3 Künzi, Hans-Peter A. 3 Lowen, Robert 3 Pedicchio, Maria Cristina 3 Seal, Gavin J. 3 Shen, Lili 3 Sousa, Lurdes 3 Street, Ross H. 3 Yeganeh, Leila 2 Ivanova-Dimova, Elza 2 Jaspers, Helmut 2 Johnson, Michael Sterling James 2 Lack, Stephen 2 Pultr, Aleš 2 Reiterman, Jan 2 Schämann, Norbert 2 Shir Ali Nasab, Amir Reza 2 Sydow, Walter 2 Tozzi, Anna 2 Wood, Richard J. 1 Akhvlediani, Andrei 1 Borceux, Francis 1 Dong, Xiaomin 1 Dyckhoff, Roy 1 Franke, Detlev 1 Grandis, Marco 1 Guo, Xiuzhan 1 Haefner, Klaus 1 He, Wei 1 Hyland, J. Martin E. 1 Johnstone, Peter T. 1 Kamps, Klaus Heiner 1 Kiss, Emil W. 1 Mahmoudi, Mojgan 1 Mantovani, Sandra 1 Pareigis, Bodo 1 Päthe, Dietmar 1 Perrone, Paolo 1 Picado, Jorge 1 Porst, Hans-Eberhard 1 Pröhle, Peter 1 Richter, Günther 1 Schubert, Christoph 1 Sioen, Mark 1 Szigeti, Jenó 1 Ursini, Aldo 1 Vitale, Enrico Maria 1 Wang, Jiyu 1 Watson, William Stephen all top 5 Serials 25 Applied Categorical Structures 21 Journal of Pure and Applied Algebra 15 Topology and its Applications 10 Theory and Applications of Categories 8 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Algebra 3 Commentationes Mathematicae Universitatis Carolinae 3 Quaestiones Mathematicae 3 Transactions of the American Mathematical Society 2 Communications in Algebra 2 Algebra Universalis 2 Archivum Mathematicum 2 Canadian Journal of Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Encyclopedia of Mathematics and Its Applications 1 Bulletin of the Australian Mathematical Society 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Portugaliae Mathematica 1 Proceedings of the American Mathematical Society 1 Studia Scientiarum Mathematicarum Hungarica 1 Topology Proceedings 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Georgian Mathematical Journal 1 Homology, Homotopy and Applications 1 Scientiae Mathematicae Japonicae 1 Portugaliae Mathematica. Nova Série 1 General Topology and its Applications 1 Fields Institute Communications 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of Homotopy and Related Structures 1 Logical Methods in Computer Science 1 Tbilisi Mathematical Journal 1 Textos de Matemática all top 5 Fields 156 Category theory; homological algebra (18-XX) 58 General topology (54-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 12 Algebraic topology (55-XX) 11 General and overarching topics; collections (00-XX) 9 Associative rings and algebras (16-XX) 6 General algebraic systems (08-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Topological groups, Lie groups (22-XX) 3 Commutative algebra (13-XX) 3 Manifolds and cell complexes (57-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 1,651 times in 881 Documents Cited by ▼ Year ▼ Semi-abelian categories. Zbl 0993.18008Janelidze, George; Márki, László; Tholen, Walter 168 2002 Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics. Zbl 0853.18002Dikranjan, D.; Tholen, W. 132 1995 Monoidal topology. A categorical approach to order, metric, and topology. Zbl 1297.18001 64 2014 Exponentiable morphisms, partial products and pullback complements. Zbl 0659.18003Dyckhoff, Roy; Tholen, Walter 49 1987 Semi-topological functors. I. Zbl 0413.18001Tholen, Walter 49 1979 Facets of descent. I. Zbl 0805.18005Janelidze, George; Tholen, Walter 45 1994 Metric, topology and multicategory – a common approach. Zbl 1015.18004Clementino, Maria Manuel; Tholen, Walter 44 2003 Categorical algebraic properties. A compendium of amalgamation, congruence extension, epimorphisms, residual smallness, and injectivity. Zbl 0549.08001Kiss, E. W.; Márki, L.; Pröhle, P.; Tholen, W. 43 1983 One setting for all: Metric, topology, uniformity, approach structure. Zbl 1051.18005Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 40 2004 Topology in a category: Compactness. Zbl 0877.18002Clementino, M. M.; Giuli, E.; Tholen, W. 36 1996 Factorizations, localizations, and the orthogonal subcategory problem. Zbl 0553.18003Tholen, Walter 34 1983 Beyond Barr exactness: Effective descent morphisms. Zbl 1047.18010Janelidze, George; Sobral, Manuela; Tholen, Walter 31 2004 Natural weak factorization systems. Zbl 1164.18300Grandis, Marco; Tholen, Walter 29 2006 Weak factorization systems and topological functors. Zbl 0997.18002Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 28 2002 A functional approach to general topology. Zbl 1059.54012Clementino, Maria Manuel; Giuli, Eraldo; Tholen, Walter 27 2004 Concrete dualities. Zbl 0761.18001Porst, H.-E.; Tholen, W. 25 1991 Facets of descent. II. Zbl 0880.18007Janelidze, G.; Tholen, W. 24 1997 Ordered topological structures. Zbl 1171.54025Tholen, Walter 21 2009 Torsion theories and radicals in normal categories. Zbl 1121.18010Clementino, M. M.; Dikranjan, D.; Tholen, W. 21 2006 On a generalized small-object argument for the injective subcategory problem. Zbl 1002.18002Adámek, J.; Herrlich, H.; Rosický, J.; Tholen, W. 21 2002 Effective descent maps of topological spaces. Zbl 0829.54011Reiterman, Jan; Tholen, Walter 21 1994 How algebraic is the change-of-base functor? Zbl 0802.18005Janelidze, George; Tholen, Walter 19 1991 Facets of descent. III: Monadic descent for rings and algebras. Zbl 1078.18007Janelidze, G.; Tholen, W. 19 2004 Ideal determined categories. Zbl 1208.18001Janelidze, G.; Marki, L.; Tholen, W.; Ursini, A. 17 2010 Factorization, fibration and torsion. Zbl 1184.18009Rosicky, J.; Tholen, W. 17 2007 On Wyler’s taut lift theorem. Zbl 0374.18002Tholen, Walter 17 1978 Separation versus connectedness. Zbl 0906.18003Clementino, Maria Manuel; Tholen, Walter 17 1997 Lawvere completion and separation via closure. Zbl 1207.18006Hofmann, Dirk; Tholen, Walter 16 2010 Quantale-valued topological spaces via closure and convergence. Zbl 1376.54003Lai, Hongliang; Tholen, Walter 16 2017 Injective objects and cogenerating sets. Zbl 0487.18014Tholen, Walter 15 1981 Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday). Zbl 1032.18002Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 15 2003 Factorization systems as Eilenberg-Moore algebras. Zbl 0778.18001Korostenski, Mareli; Tholen, Walter 14 1993 Characterization of torsion theories in general categories. Zbl 1128.18009Janelidze, George; Tholen, Walter 14 2007 Abschwächungen des Adjunktionsbegriffs. Zbl 0329.18005Börger, Reinhard; Tholen, Walter 14 1976 Tychonoff’s theorem in a category. Zbl 0882.18004Clementino, Maria Manuel; Tholen, Walter 14 1996 Effective descent morphisms and effective equivalence relations. Zbl 0792.18002Sobral, M.; Tholen, W. 13 1992 A categorical guide to separation, compactness and perfectness. Zbl 0924.18003Tholen, Walter 13 1999 Left-determined model categories and universal homotopy theories. Zbl 1030.55015Rosický, J.; Tholen, W. 12 2003 Functorial factorization, well-pointedness and separability. Zbl 0953.18001Janelidze, George; Tholen, Walter 12 1999 Cantors Diagonalprinzip für Kategorien. Zbl 0363.04002Börger, Reinhard; Tholen, Walter 12 1978 On the categorical meaning of Hausdorff and Gromov distances. I. Zbl 1226.18013Akhvlediani, Andrei; Clementino, Maria Manuel; Tholen, Walter 11 2010 Prereflections and reflections. Zbl 0587.18002Tholen, Walter 11 1986 Monadic decompositions. Zbl 0675.18001Adámek, Jiří; Herrlich, Horst; Tholen, Walter 11 1989 Adjungierte Dreiecke, Colimites und Kan-Erweiterungen. Zbl 0325.18002Tholen, Walter 11 1975 Semi-topological functors. II: external characterizations. Zbl 0413.18002Tholen, Walter; Wischnewsky, Manfred B. 11 1979 Injective hulls are not natural. Zbl 1061.18010Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 11 2002 Dual closure operators and their applications. Zbl 1320.18002Dikranjan, Dikran; Tholen, Walter 10 2015 Openness with respect to a closure operator. Zbl 0981.18001Giuli, Eraldo; Tholen, Walter 10 2000 Objects with closed diagonals. Zbl 0651.18002Giuli, Eraldo; Mantovani, Sandra; Tholen, Walter 10 1988 Note on total categories. Zbl 0431.18002Tholen, Walter 10 1980 Categorical foundations. Special topics in order, topology, algebra, and sheaf theory. Zbl 1034.18001 9 2004 Lax factorization algebras. Zbl 1013.18001Rosický, Jiří; Tholen, Walter 9 2002 Pro-categories and multiadjoing functors. Zbl 0529.18002Tholen, Walter 9 1984 Semi-topological functors III: Lifting of monads and adjoint functors. Zbl 0428.18003Street, Ross; Wischnewsky, Manfred; Wolff, Harvey; Tholen, W. 9 1980 Essential weak factorization systems. Zbl 0990.18002Tholen, Walter 9 2001 Compact and hypercomplete categories. Zbl 0457.18003Börger, R.; Tholen, W.; Wischnewsky, M. B.; Wolff, H. 9 1981 Universality of coproducts in categories of lax algebras. Zbl 1103.18007Mahmoudi, Mojgan; Schubert, Christoph; Tholen, Walter 8 2006 Total categories and solid functors. Zbl 0742.18001Börger, Reinhard; Tholen, Walter 8 1990 A topologist’s view of Chu spaces. Zbl 1143.18008Giuli, Eraldo; Tholen, Walter 8 2007 Closure operators and their middle-interchange law. Zbl 1231.18003Tholen, Walter 8 2011 A note on the topologicity of quantale-valued topological spaces. Zbl 1452.54010Lai, Hongliang; Tholen, Walter 8 2017 The convergence approach to exponentiable maps. Zbl 1078.54011Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 8 2003 Reflective subcategories. Zbl 0629.18004Tholen, Walter 8 1987 Remarks on topologically algebraic functors. Zbl 0422.18002Börger, Reinhard; Tholen, Walter 8 1979 Composites of effective descent maps. Zbl 0792.18001Reiterman, Jan; Sobral, Manuela; Tholen, Walter 7 1993 Kleisli compositions for topological spaces. Zbl 1103.54001Hofmann, Dirk; Tholen, Walter 7 2006 Lax algebra meets topology. Zbl 1253.18006Hofmann, Dirk; Tholen, Walter 6 2012 A note on free regular and exact completions and their infinitary generalizations. Zbl 0872.18004Hu, Hongde; Tholen, Walter 6 1996 Locally semisimple coverings. Zbl 0927.18004Janelidze, George; Márki, László; Tholen, Walter 6 1998 Factorizations of cones along a functor. Zbl 0365.18003Tholen, Walter 6 1977 Classification of closure operators for categories of topological spaces. Zbl 1078.18006Dikranjan, Dikran; Tholen, Walter; Watson, Stephen 6 2004 Separated and connected maps. Zbl 0935.18003Clementino, Maria Manuel; Tholen, Walter 6 1998 Groups of dualities. Zbl 0796.18003Dimov, Georgi D.; Tholen, Walter 5 1993 What is a quotient map with respect to a closure operator? Zbl 0978.18003Clementino, Maria Manuel; Giuli, Eraldo; Tholen, Walter 5 2001 On pure morphisms in accessible categories. Zbl 0852.18002Adámek, Jiří; Hu, H.; Tholen, Walter 5 1996 Topological categories, quantaloids and Isbell adjunctions. Zbl 1333.18009Shen, Lili; Tholen, Walter 5 2016 Amalgamations in categories. Zbl 0494.18002Tholen, Walter 5 1982 MacNeille completion of concrete categories with local properties. Zbl 0435.18005Tholen, Walter 5 1980 Concordant-dissonant and monotone-light. Zbl 0549.18003Börger, Reinhard; Tholen, Walter 4 1984 Injectivity versus exponentiability. Zbl 1160.18002Tholen, Walter 4 2008 Strong, regular and dense generators. Zbl 0758.18001Börger, Reinhard; Tholen, Walter 4 1991 Limits in free coproduct completions. Zbl 0845.18001Hu, Hongde; Tholen, Walter 4 1995 Approximate injectivity. Zbl 1395.18007Rosický, J.; Tholen, W. 4 2018 On left-cancellable classes of morphisms. Zbl 0594.18003Korostenski, Mareli; Tholen, Walter 4 1986 Multiplicative structures over sup-lattices. Zbl 0717.18003Pedicchio, Maria Cristina; Tholen, Walter 4 1989 M-functors. Zbl 0388.18005Tholen, Walter 4 1976 Limits and colimits of quantaloid-enriched categories and their distributors. Zbl 1334.18005Shen, Lili; Tholen, Walter 4 2015 Factorizations, fibres and connectedness. Zbl 0547.18001Tholen, Walter 3 1984 Lax algebras. Zbl 1300.18004Hofmann, Dirk; Seal, Gavin J.; Tholen, Walter 3 2014 Lax algebras as spaces. Zbl 1300.18002Clementino, Maria Manuel; Colebunders, Eva; Tholen, Walter 3 2014 Perfect maps are exponentiable - categorically. Zbl 1009.18001Richter, Günther; Tholen, Walter 3 2001 A characterization of the Vietoris topology. Zbl 0945.54011Clementino, Maria Manuel; Tholen, Walter 3 1997 Covollständigkeit vollständiger Kategorien. Zbl 0272.18003Pumplün, Dieter; Tholen, Walter 3 1974 Completions of categories and initial completions. Zbl 0695.18002Tholen, Walter; Tozzi, Anna 3 1989 Free Quillen factorization systems. Zbl 1041.18002Pultr, Aleš; Tholen, Walter 3 2002 Accessibility and the solution set condition. Zbl 0817.18004Rosický, Jiří; Tholen, Walter 3 1995 Decomposition of morphisms into infinitely many factors. Zbl 0497.18006MacDonald, John; Tholen, Walter 3 1982 Zum Satz von Freyd und Kelly. Zbl 0351.18001Tholen, Walter 3 1978 Lax distributive laws for topology. II. Zbl 1374.18011Lai, Hongliang; Shen, Lili; Tholen, Walter 3 2017 Extensions of dualities and a new approach to the Fedorchuk duality. Zbl 1457.54016Dimov, G.; Ivanova-Dimova, E.; Tholen, W. 2 2020 Extensions of dualities and a new approach to the Fedorchuk duality. Zbl 1457.54016Dimov, G.; Ivanova-Dimova, E.; Tholen, W. 2 2020 Metagories. Zbl 1445.18002Tholen, Walter; Wang, Jiyu 1 2020 Lax distributive laws for topology. I. Zbl 1423.18027Tholen, Walter 2 2019 Approximate injectivity. Zbl 1395.18007Rosický, J.; Tholen, W. 4 2018 Met-like categories amongst concrete topological categories. Zbl 1407.18004Tholen, Walter 1 2018 Monads on \(\mathcal{Q} - \mathbf{Cat}\) and their lax extensions to \(\mathcal{Q} - \mathbf{Dist}\). Zbl 1428.18009Lai, Hongliang; Tholen, Walter 1 2018 Quantale-valued topological spaces via closure and convergence. Zbl 1376.54003Lai, Hongliang; Tholen, Walter 16 2017 A note on the topologicity of quantale-valued topological spaces. Zbl 1452.54010Lai, Hongliang; Tholen, Walter 8 2017 Lax distributive laws for topology. II. Zbl 1374.18011Lai, Hongliang; Shen, Lili; Tholen, Walter 3 2017 Quantalic topological theories. Zbl 1388.18003Tholen, Walter 1 2017 Topological categories, quantaloids and Isbell adjunctions. Zbl 1333.18009Shen, Lili; Tholen, Walter 5 2016 Dual closure operators and their applications. Zbl 1320.18002Dikranjan, Dikran; Tholen, Walter 10 2015 Limits and colimits of quantaloid-enriched categories and their distributors. Zbl 1334.18005Shen, Lili; Tholen, Walter 4 2015 Monoidal topology. A categorical approach to order, metric, and topology. Zbl 1297.18001 64 2014 Lax algebras. Zbl 1300.18004Hofmann, Dirk; Seal, Gavin J.; Tholen, Walter 3 2014 Lax algebras as spaces. Zbl 1300.18002Clementino, Maria Manuel; Colebunders, Eva; Tholen, Walter 3 2014 Nullstellen and subdirect representation. Zbl 1309.18001Tholen, Walter 1 2014 Lax algebra meets topology. Zbl 1253.18006Hofmann, Dirk; Tholen, Walter 6 2012 Proper maps for lax algebras and the Kuratowski-Mrówka theorem. Zbl 1275.18010Clementino, Maria Manuel; Tholen, Walter 2 2012 Kleisli enriched. Zbl 1257.18004Tholen, Walter 1 2012 Closure operators and their middle-interchange law. Zbl 1231.18003Tholen, Walter 8 2011 Ideal determined categories. Zbl 1208.18001Janelidze, G.; Marki, L.; Tholen, W.; Ursini, A. 17 2010 Lawvere completion and separation via closure. Zbl 1207.18006Hofmann, Dirk; Tholen, Walter 16 2010 On the categorical meaning of Hausdorff and Gromov distances. I. Zbl 1226.18013Akhvlediani, Andrei; Clementino, Maria Manuel; Tholen, Walter 11 2010 Strongly separable morphisms in general categories. Zbl 1315.18004Janelidze, G.; Tholen, W. 2 2010 Ordered topological structures. Zbl 1171.54025Tholen, Walter 21 2009 Injectivity versus exponentiability. Zbl 1160.18002Tholen, Walter 4 2008 Factorization, fibration and torsion. Zbl 1184.18009Rosicky, J.; Tholen, W. 17 2007 Characterization of torsion theories in general categories. Zbl 1128.18009Janelidze, George; Tholen, Walter 14 2007 A topologist’s view of Chu spaces. Zbl 1143.18008Giuli, Eraldo; Tholen, Walter 8 2007 Natural weak factorization systems. Zbl 1164.18300Grandis, Marco; Tholen, Walter 29 2006 Torsion theories and radicals in normal categories. Zbl 1121.18010Clementino, M. M.; Dikranjan, D.; Tholen, W. 21 2006 Universality of coproducts in categories of lax algebras. Zbl 1103.18007Mahmoudi, Mojgan; Schubert, Christoph; Tholen, Walter 8 2006 Kleisli compositions for topological spaces. Zbl 1103.54001Hofmann, Dirk; Tholen, Walter 7 2006 One setting for all: Metric, topology, uniformity, approach structure. Zbl 1051.18005Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 40 2004 Beyond Barr exactness: Effective descent morphisms. Zbl 1047.18010Janelidze, George; Sobral, Manuela; Tholen, Walter 31 2004 A functional approach to general topology. Zbl 1059.54012Clementino, Maria Manuel; Giuli, Eraldo; Tholen, Walter 27 2004 Facets of descent. III: Monadic descent for rings and algebras. Zbl 1078.18007Janelidze, G.; Tholen, W. 19 2004 Categorical foundations. Special topics in order, topology, algebra, and sheaf theory. Zbl 1034.18001 9 2004 Classification of closure operators for categories of topological spaces. Zbl 1078.18006Dikranjan, Dikran; Tholen, Walter; Watson, Stephen 6 2004 Galois theory, Hopf algebras, and semiabelian categories. Papers from the workshop on categorical structures for descent and Galois theory, Hopf algebras, and semiabelian categories, Toronto, ON, Canada, September 23–28, 2002. Zbl 1051.18002 1 2004 Metric, topology and multicategory – a common approach. Zbl 1015.18004Clementino, Maria Manuel; Tholen, Walter 44 2003 Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday). Zbl 1032.18002Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 15 2003 Left-determined model categories and universal homotopy theories. Zbl 1030.55015Rosický, J.; Tholen, W. 12 2003 The convergence approach to exponentiable maps. Zbl 1078.54011Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 8 2003 Semi-abelian categories. Zbl 0993.18008Janelidze, George; Márki, László; Tholen, Walter 168 2002 Weak factorization systems and topological functors. Zbl 0997.18002Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 28 2002 On a generalized small-object argument for the injective subcategory problem. Zbl 1002.18002Adámek, J.; Herrlich, H.; Rosický, J.; Tholen, W. 21 2002 Injective hulls are not natural. Zbl 1061.18010Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 11 2002 Lax factorization algebras. Zbl 1013.18001Rosický, Jiří; Tholen, Walter 9 2002 Free Quillen factorization systems. Zbl 1041.18002Pultr, Aleš; Tholen, Walter 3 2002 Essential weak factorization systems. Zbl 0990.18002Tholen, Walter 9 2001 What is a quotient map with respect to a closure operator? Zbl 0978.18003Clementino, Maria Manuel; Giuli, Eraldo; Tholen, Walter 5 2001 Perfect maps are exponentiable - categorically. Zbl 1009.18001Richter, Günther; Tholen, Walter 3 2001 A note on local compactness. Zbl 1010.18003Clementino, Maria Manuel; Tholen, Walter 2 2001 Openness with respect to a closure operator. Zbl 0981.18001Giuli, Eraldo; Tholen, Walter 10 2000 Local enrichments of categories. Zbl 0954.18003Pultr, A.; Tholen, W. 2 2000 A categorical guide to separation, compactness and perfectness. Zbl 0924.18003Tholen, Walter 13 1999 Functorial factorization, well-pointedness and separability. Zbl 0953.18001Janelidze, George; Tholen, Walter 12 1999 Extended Galois theory and dissonant morphisms. Zbl 0936.18006Janelidze, George; Tholen, Walter 1 1999 Locally semisimple coverings. Zbl 0927.18004Janelidze, George; Márki, László; Tholen, Walter 6 1998 Separated and connected maps. Zbl 0935.18003Clementino, Maria Manuel; Tholen, Walter 6 1998 Facets of descent. II. Zbl 0880.18007Janelidze, G.; Tholen, W. 24 1997 Separation versus connectedness. Zbl 0906.18003Clementino, Maria Manuel; Tholen, Walter 17 1997 A characterization of the Vietoris topology. Zbl 0945.54011Clementino, Maria Manuel; Tholen, Walter 3 1997 Topology in a category: Compactness. Zbl 0877.18002Clementino, M. M.; Giuli, E.; Tholen, W. 36 1996 Tychonoff’s theorem in a category. Zbl 0882.18004Clementino, Maria Manuel; Tholen, Walter 14 1996 A note on free regular and exact completions and their infinitary generalizations. Zbl 0872.18004Hu, Hongde; Tholen, Walter 6 1996 On pure morphisms in accessible categories. Zbl 0852.18002Adámek, Jiří; Hu, H.; Tholen, Walter 5 1996 Objects with dense diagonals. Partially reprinted from the journal Applied Categorical Structures 4, No. 1 (1996). Zbl 0879.18005Tholen, Walter 2 1996 Quasi-coproducts and accessible categories with wide pullbacks. Zbl 0859.18004Hu, Hongde; Tholen, Walter 2 1996 Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics. Zbl 0853.18002Dikranjan, D.; Tholen, W. 132 1995 Limits in free coproduct completions. Zbl 0845.18001Hu, Hongde; Tholen, Walter 4 1995 Accessibility and the solution set condition. Zbl 0817.18004Rosický, Jiří; Tholen, Walter 3 1995 Facets of descent. I. Zbl 0805.18005Janelidze, George; Tholen, Walter 45 1994 Effective descent maps of topological spaces. Zbl 0829.54011Reiterman, Jan; Tholen, Walter 21 1994 Factorization systems as Eilenberg-Moore algebras. Zbl 0778.18001Korostenski, Mareli; Tholen, Walter 14 1993 Composites of effective descent maps. Zbl 0792.18001Reiterman, Jan; Sobral, Manuela; Tholen, Walter 7 1993 Groups of dualities. Zbl 0796.18003Dimov, Georgi D.; Tholen, Walter 5 1993 Effective descent morphisms and effective equivalence relations. Zbl 0792.18002Sobral, M.; Tholen, W. 13 1992 Concrete dualities. Zbl 0761.18001Porst, H.-E.; Tholen, W. 25 1991 How algebraic is the change-of-base functor? Zbl 0802.18005Janelidze, George; Tholen, Walter 19 1991 Strong, regular and dense generators. Zbl 0758.18001Börger, Reinhard; Tholen, Walter 4 1991 Totality of colimit closures. Zbl 0760.18002Börger, Reinhard; Tholen, Walter 1 1991 Total categories and solid functors. Zbl 0742.18001Börger, Reinhard; Tholen, Walter 8 1990 Total categories with generators. Zbl 0703.18001Adámek, Jiří; Tholen, Walter 2 1990 Monadic decompositions. Zbl 0675.18001Adámek, Jiří; Herrlich, Horst; Tholen, Walter 11 1989 Multiplicative structures over sup-lattices. Zbl 0717.18003Pedicchio, Maria Cristina; Tholen, Walter 4 1989 Completions of categories and initial completions. Zbl 0695.18002Tholen, Walter; Tozzi, Anna 3 1989 Objects with closed diagonals. Zbl 0651.18002Giuli, Eraldo; Mantovani, Sandra; Tholen, Walter 10 1988 Orthogonal and prereflective subcategories. Zbl 0669.18001Rosický, Jiří; Tholen, Walter 2 1988 Exponentiable morphisms, partial products and pullback complements. Zbl 0659.18003Dyckhoff, Roy; Tholen, Walter 49 1987 Reflective subcategories. Zbl 0629.18004Tholen, Walter 8 1987 Prereflections and reflections. Zbl 0587.18002Tholen, Walter 11 1986 On left-cancellable classes of morphisms. Zbl 0594.18003Korostenski, Mareli; Tholen, Walter 4 1986 Exponentiable monomorphisms. Zbl 0614.18001Tholen, Walter 2 1986 Pro-categories and multiadjoing functors. Zbl 0529.18002Tholen, Walter 9 1984 Concordant-dissonant and monotone-light. Zbl 0549.18003Börger, Reinhard; Tholen, Walter 4 1984 Factorizations, fibres and connectedness. Zbl 0547.18001Tholen, Walter 3 1984 Categorical algebraic properties. A compendium of amalgamation, congruence extension, epimorphisms, residual smallness, and injectivity. Zbl 0549.08001Kiss, E. W.; Márki, L.; Pröhle, P.; Tholen, W. 43 1983 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 566 Authors 72 Tholen, Walter 40 Clementino, Maria Manuel 39 Janelidze, George 38 Hofmann, Dirk 31 Rosický, Jiří 30 Gran, Marino 28 van der Linden, Tim 27 Dikranjan, Dikran N. 23 Bourn, Dominique 21 Mantovani, Sandra 16 Cagliari, Francesca 15 Janelidze, Zurab 15 Sobral, Manuela 14 Adámek, Jiří 14 Colebunders, Eva 14 Giuli, Eraldo 13 Everaert, Tomas 13 Gray, James Richard Andrew 13 Holgate, David B. 12 Martins-Ferreira, Nelson 11 Casas Miras, José Manuel 11 Castellini, Gabriele 11 Garner, Richard 11 Lai, Hongliang 11 Mesablishvili, Bachuki 11 Šlapal, Josef 10 Herrlich, Horst 10 Montoli, Andrea 10 Sousa, Lurdes 9 García-Martínez, Xabier 9 Hosseini, Seyed Naser 9 Shen, Lili 9 Vitale, Enrico Maria 9 Zangurashvili, Dali 8 Lowen, Robert 8 Márki, László 8 Metere, Giuseppe 8 Wischnewsky, Manfred Bernd 8 Zhang, Dexue 7 Börger, Reinhard 7 Facchini, Alberto 7 Grandis, Marco 7 Lack, Stephen 7 Mahmoudi, Mojgan 7 Razafindrakoto, Ando 7 Sioen, Mark 7 Solovyov, Sergey A. 6 Borceux, Francis 6 Cigoli, Alan S. 6 Jäger, Gunther 6 Ladra González, Manuel 6 Nora, Pedro 6 Strecker, George E. 6 Ursini, Aldo 5 Bourke, John 5 Chorny, Boris 5 Crivei, Septimiu 5 Hébert, Michel 5 Johnstone, Peter T. 5 Kashu, Alekseĭ Ivanovich 5 Lucatelli Nunes, Fernando 5 Martínez, Jorge L. 5 Pultr, Aleš 5 Street, Ross H. 5 Waszkiewicz, Paweł 4 Ardizzoni, Alessandro 4 Böhm, Gabriella 4 Brümmer, Guillaume C. L. 4 Dimov, Georgi D. 4 Erné, Marcel 4 Finocchiaro, Carmelo Antonio 4 Hušek, Miroslav 4 Jacqmin, Pierre-Alain 4 Janelidze-Gray, Tamar 4 Korostenski, Mareli 4 Künzi, Hans-Peter A. 4 Menini, Claudia 4 Mousavi, Seyed Sh. 4 Pelant, Jan 4 Picado, Jorge 4 Raftery, James G. 4 Rodelo, Diana 4 Shahbaz, Leila 4 Sterck, Florence 4 Velebil, Jiří 3 Ahsanullah, T. M. G. 3 Arroyo Paniagua, María José 3 Biyogmam, Guy Roger 3 Brown, Ronald 3 Caramello, Olivia 3 Carboni, Aurelio 3 Demirci, Mustafa 3 Di Micco, Davide 3 Ebrahimi, Mohammad Mehdi 3 Gambino, Nicola 3 Gerlo, A. 3 Giordano Bruno, Anna 3 Gutierres, Gonçalo 3 Harmer, Russ 3 Heunen, Chris ...and 466 more Authors all top 5 Cited in 115 Serials 146 Applied Categorical Structures 133 Journal of Pure and Applied Algebra 106 Topology and its Applications 41 Theory and Applications of Categories 40 Cahiers de Topologie et Géométrie Différentielle Catégoriques 39 Journal of Algebra 28 Advances in Mathematics 26 Quaestiones Mathematicae 22 Communications in Algebra 22 Algebra Universalis 21 Fuzzy Sets and Systems 14 MSCS. Mathematical Structures in Computer Science 10 Annals of Pure and Applied Logic 9 Cahiers de Topologie et Géométrie Différentielle Catégoriques 9 Categories and General Algebraic Structures with Applications 8 Theoretical Computer Science 8 Journal of Algebra and its Applications 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 Acta Mathematica Hungarica 6 Semigroup Forum 5 Bulletin of the Australian Mathematical Society 5 Manuscripta Mathematica 4 Israel Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Buletinul Academiei de Științe a Republicii Moldova. Matematica 4 Iranian Journal of Fuzzy Systems 4 Logical Methods in Computer Science 3 Periodica Mathematica Hungarica 3 Algebra and Logic 3 The Journal of Symbolic Logic 3 Bulletin of the Iranian Mathematical Society 3 Forum Mathematicum 3 Journal of Mathematical Sciences (New York) 3 Turkish Journal of Mathematics 3 Filomat 3 Soft Computing 3 Algebras and Representation Theory 3 Hacettepe Journal of Mathematics and Statistics 3 Journal of Homotopy and Related Structures 3 Journal of Linear and Topological Algebra 2 Commentationes Mathematicae Universitatis Carolinae 2 Czechoslovak Mathematical Journal 2 Mathematische Annalen 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Annales Henri Poincaré 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Algebra and Discrete Mathematics 2 Mediterranean Journal of Mathematics 2 New Mathematics and Natural Computation 2 Logica Universalis 2 Tbilisi Mathematical Journal 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Logical and Algebraic Methods in Programming 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Collectanea Mathematica 1 Information Sciences 1 Publications Mathématiques 1 Journal of Geometry 1 Journal of Philosophical Logic 1 Journal of Soviet Mathematics 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Notre Dame Journal of Formal Logic 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Revista Colombiana de Matemáticas 1 Studia Logica 1 Synthese 1 European Journal of Combinatorics 1 Order 1 International Journal of Foundations of Computer Science 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Aequationes Mathematicae 1 Glasnik Matematički. Serija III 1 Journal of Knot Theory and its Ramifications 1 Topology Proceedings 1 Diagrammes 1 Georgian Mathematical Journal 1 The New York Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 ACM Transactions on Computational Logic 1 Cubo 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 European Journal of Pure and Applied Mathematics ...and 15 more Serials all top 5 Cited in 33 Fields 731 Category theory; homological algebra (18-XX) 277 General topology (54-XX) 152 Order, lattices, ordered algebraic structures (06-XX) 115 General algebraic systems (08-XX) 86 Group theory and generalizations (20-XX) 72 Mathematical logic and foundations (03-XX) 69 Algebraic topology (55-XX) 53 Associative rings and algebras (16-XX) 38 Nonassociative rings and algebras (17-XX) 37 Computer science (68-XX) 25 Topological groups, Lie groups (22-XX) 19 Functional analysis (46-XX) 14 Commutative algebra (13-XX) 10 Manifolds and cell complexes (57-XX) 5 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 \(K\)-theory (19-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year