Edit Profile (opens in new tab) Herrlich, Horst (b. 1937 d. 2015) Co-Author Distance Author ID: herrlich.horst Published as: Herrlich, Horst; Herrlich, H. External Links: MGP · Wikidata · dblp · GND · IdRef Member of Collective: Rhineghost, Y. T. Documents Indexed: 191 Publications since 1965, including 11 Books 13 Contributions as Editor Reviewing Activity: 167 Reviews Biographic References: 4 Publications Co-Authors: 61 Co-Authors with 129 Joint Publications 1,067 Co-Co-Authors all top 5 Co-Authors 74 single-authored 27 Bentley, Herschel Lamar 23 Strecker, George E. 18 Keremedis, Kyriakos 13 Adámek, Jiří 13 Tachtsis, Eleftherios 9 Hušek, Miroslav 6 Howard, Paul E. 5 Preuß, Gerhard 4 Rajagopalan, Minakshisundaram 4 Rosický, Jiří 4 Schröder, Lutz 4 Tholen, Walter 3 Bargenda, Hubertus W. 3 Colebunders, Eva 3 Giuli, Eraldo 3 Salicrup, Graciela 2 Banaschewski, Bernhard 2 de Groot, Johannes 2 Felgner, Ulrich 2 Gähler, Werner 2 Hausdorff, Felix 2 Kannan, V. 2 Kanovei, Vladimir G. 2 Koepke, Peter 2 Lowen, Robert 2 Porst, Hans-Eberhard 2 Purkert, Walter 2 Scholz, Erhard 2 Vázquez, Roberto 2 Wattel, Evert 2 Zhang, Dexue 1 Beattie, Ronald 1 Binz, Ernst 1 Brieskorn, Egbert 1 Brümmer, Guillaume C. L. 1 Butzmann, Heinz-Peter 1 Carlson, John W. 1 Chatterji, Srishti Dhar 1 Comfort, William Wistar 1 Ehrig, Hartmut 1 El Bashir, Robert 1 Epple, Moritz 1 Gilmour, Christopher R. A. 1 Hoffmann, Rudolf- Eberhard 1 Hunsaker, Worthen N. 1 Kreowski, Hans-Jörg 1 Kronheimer, Erwin H. 1 Meyer, Walter J. 1 Mikusiński, Jan Stefan 1 Mossakowski, Till 1 Nakagawa, Ryosuke 1 Nel, Louis Daniel 1 Novák, Josef 1 Prieto, Carlos Tejero 1 Pultr, Aleš 1 Rhineghost, Y. T. 1 Ringel, Claus Michael 1 Robertson, W. A. 1 Steprāns, Juris 1 Titcomb, Timothy 1 Trompelt, C. 1 van der Slot, J. 1 Wischnewsky, Manfred Bernd all top 5 Serials 22 Commentationes Mathematicae Universitatis Carolinae 16 Quaestiones Mathematicae 16 Topology and its Applications 12 Applied Categorical Structures 8 Mathematische Zeitschrift 7 General Topology and its Applications 5 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Pure and Applied Algebra 4 Lecture Notes in Mathematics 3 Canadian Journal of Mathematics 3 Fundamenta Mathematicae 3 Proceedings of the American Mathematical Society 3 Mathematical Logic Quarterly (MLQ) 3 Berliner Studienreihe zur Mathematik 3 Sigma Series in Pure Mathematics 2 Canadian Mathematical Bulletin 2 Duke Mathematical Journal 2 Indian Journal of Mathematics 2 Mathematische Annalen 2 Notre Dame Journal of Formal Logic 2 Transactions of the American Mathematical Society 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Mathematical Research 1 Houston Journal of Mathematics 1 Algebra Universalis 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Compositio Mathematica 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Rostocker Mathematisches Kolloquium 1 Topology Proceedings 1 Serdica Mathematical Journal 1 Reprints in Theory and Applications of Categories 1 Annales Societatis Mathematicae Polonae 1 Aportaciones Matemáticas. Notas de Investigación 1 Lecture Notes in Computer Science 1 Research and Exposition in Mathematics 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Abhandlungen der Akademie der Wissenschaften der DDR all top 5 Fields 130 General topology (54-XX) 109 Category theory; homological algebra (18-XX) 43 Mathematical logic and foundations (03-XX) 9 General and overarching topics; collections (00-XX) 9 General algebraic systems (08-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Combinatorics (05-XX) 4 History and biography (01-XX) 2 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 158 Publications have been cited 2,600 times in 1,789 Documents Cited by ▼ Year ▼ Abstract and concrete categories. The joy of cats. Zbl 0695.18001Adámek, Jiří; Herrlich, Horst; Strecker, George E. 732 1990 Category theory. An introduction. Zbl 0265.18001Herrlich, Horst; Strecker, George E. 202 1973 Category theory. An introduction. 2nd ed. Zbl 0437.18001Herrlich, Horst; Strecker, George E. 113 1979 Abstract and concrete categories: the joy of cats. Zbl 1113.18001Adámek, Jiří; Herrlich, Horst; Strecker, George E. 101 2006 Topological functors. Zbl 0288.54003Herrlich, Horst 95 1974 Topologische Reflexionen und Coreflexionen. Zbl 0182.25302Herrlich, Horst 88 1968 Axiom of choice. Zbl 1102.03049Herrlich, Horst 80 2006 A concept of nearness. Zbl 0288.54004Herrlich, Horst 59 1974 Cartesian closed topological categories. Zbl 0318.18011Herrlich, Horst 45 1974 Subcategories defined by implications. Zbl 0344.18002Banaschewski, B.; Herrlich, Horst 36 1976 Factorizations, denseness, separation, and relatively compact objects. Zbl 0629.18003Herrlich, Horst; Salicrup, G.; Strecker, George E. 35 1987 Weak factorization systems and topological functors. Zbl 0997.18002Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 30 2002 Category theory. An introduction. 3rd ed. Zbl 1125.18300Herrlich, Horst; Strecker, George E. 29 2007 Initial completions. Zbl 0319.18001Herrlich, Horst 27 1976 Epireflections which are completions. Zbl 0760.18004Brümmer, G. C. L.; Giuli, E.; Herrlich, Horst 25 1992 Regular categories and regular functors. Zbl 0255.18002Herrlich, Horst 25 1974 Semi-universal maps and universal initial completions. Zbl 0379.18008Herrlich, Horst; Strecker, George E. 23 1979 On a generalized small-object argument for the injective subcategory problem. Zbl 1002.18002Adámek, J.; Herrlich, H.; Rosický, J.; Tholen, W. 23 2002 Cartesian closed topological hulls. Zbl 0361.18006Herrlich, Horst; Nel, L. D. 22 1977 Categorical topology. Zbl 0215.51501Herrlich, Horst 22 1971 Dispersed factorization structures. Zbl 0435.18003Herrlich, Horst; Salicrup, Graciela; Vazquez, Roberto 21 1979 Wann sind alle stetigen Abbildungen in \(Y\) konstant? (When are all continuous mappings in \(Y\) constant?). Zbl 0131.20402Herrlich, Horst 21 1965 E-kompakte Räume. (E-compact spaces). Zbl 0162.26501Herrlich, Horst 20 1967 \(H\)-closed spaces and reflective subcategories. Zbl 0157.29104Herrlich, Horst; Strecker, George E. 19 1968 Fortsetzbarkeit stetiger Abbildungen und Kompaktheitsgrad topologischer Räume. (Extendability of continuous mappings and compactness degree of topological spaces). Zbl 0149.19501Herrlich, Horst 18 1967 Properties which are closely related to compactness. Zbl 0153.24501Herrlich, Horst; van der Slot, J. 17 1967 Coreflective subcategories. Zbl 0224.18003Herrlich, Horst; Strecker, George E. 17 1971 Topological structures. Zbl 0311.54003Herrlich, Horst 17 1974 \(T_\nu\)-Abgeschlossenheit und \(T_\nu\)-Minimalität. (\(T_\nu\)-closedness and \(T_\nu\)-minimality). Zbl 0139.40203Herrlich, Horst 17 1965 Categorical topology 1971-1981. Zbl 0502.54001Herrlich, Horst 16 1983 Improving Top: PrTop and PsTop. Zbl 0753.18003Herrlich, Horst; Lowen-Colebunders, E.; Schwarz, F. 16 1991 On simultaneously reflective and coreflective subconstructs. Zbl 0986.18005Herrlich, Horst; Lowen, Robert 15 1999 Ordnungsfähigkeit total-diskontinuierlicher Räume. Zbl 0136.19804Herrlich, Horst 15 1965 Topological improvements of categories of structured sets. Zbl 0632.54008Herrlich, Horst 14 1987 Injective hulls are not natural. Zbl 1061.18010Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 13 2002 Are there convenient subcategories of Top? Zbl 0538.18004Herrlich, Horst 12 1983 Convenient categories for topologists. Zbl 0327.54001Bentley, H. L.; Herrlich, Horst; Robertson, W. A. 12 1976 Equivalence of topologically-algebraic and semi-topological functors. Zbl 0435.18002Herrlich, Horst; Nakagawa, R.; Strecker, George E.; Titcomb, T. 12 1980 Epireflective subcategories of TOP need not be cowell-powered. Zbl 0312.54004Herrlich, Horst 12 1975 Limit-operators and topological coreflections. Zbl 0194.54201Herrlich, Horst 11 1969 Monadic decompositions. Zbl 0675.18001Adámek, Jiří; Herrlich, Horst; Tholen, Walter 11 1989 Coreflective subcategories in general topology. Zbl 0231.18008Herrlich, Horst; Strecker, George E. 11 1972 Galois connections categorically. Zbl 0718.18001Herrlich, Horst; Hušek, Miroslav 10 1990 Improving constructions in topology. Zbl 0753.18002Bentley, H. L.; Herrlich, Horst; Lowen, R. 10 1991 Algebra \(\bigcap\) topology = compactness. Zbl 0231.18007Herrlich, Horst; Strecker, George E. 10 1971 Nearness, subfitness and sequential regularity. Zbl 0978.54001Herrlich, Horst; Pultr, A. 9 2000 Cartesian closed categories, quasitopoi and topological universes. Zbl 0601.18003Adámek, Jiří; Herrlich, Horst 9 1986 Essentially algebraic categories. Zbl 0605.18004Herrlich, Horst 9 1986 On the concept of reflections in general topology. Zbl 0182.25301Herrlich, Horst 9 1969 Topologie II: Uniforme Räume. Mit zwei Zeichnungen von Volker Kühn. Zbl 0644.54001Herrlich, Horst 8 1988 Almost reflective subcategories of \(\mathbf T \mathbf o \mathbf p\). Zbl 0805.54016Herrlich, Horst 8 1993 Some open categorical problems in Top. Zbl 0791.54012Herrlich, Horst; Hušek, Miroslav 8 1993 When is \(\mathbb N\) Lindelöf? Zbl 0938.54008Herrlich, Horst; Strecker, George E. 8 1997 Extensions of topological spaces. Zbl 0345.54027Bentley, H. L.; Herrlich, Horst 8 1976 Least and largest initial completions. I. Zbl 0404.18005Adamek, J.; Herrlich, Horst; Strecker, George E. 8 1979 Completion as reflection. Zbl 0407.54020Bentley, H. L.; Herrlich, Horst 8 1978 Factorizations of morphisms \(f:B\to FA\). Zbl 0182.34502Herrlich, Horst 8 1970 Categorical properties of probabilistic convergence spaces. Zbl 0917.54003Herrlich, Horst; Zhang, Dexue 8 1998 The historical development of uniform, proximal, and nearness concepts in topology. Zbl 0936.54028Bentley, H. L.; Herrlich, Horst; Hušek, Miroslav 8 1998 Countable choice and pseudometric spaces. Zbl 0922.03068Bentley, H. L.; Herrlich, Horst 8 1998 Convergence. Zbl 0741.54006Bentley, H. L.; Herrlich, Horst; Lowen-Colebunders, E. 8 1990 Hereditary topological constructs. Zbl 0662.18003Herrlich, Horst 8 1988 Quotienten geordneter Räume und Folgenkonvergenz. Zbl 0158.41103Herrlich, Horst 8 1967 Hyperconvex hulls of metric spaces. Zbl 0759.54015Herrlich, Horst 7 1992 Categorical topology. Zbl 0797.54023Herrlich, Horst; Hušek, Miroslav 7 1992 Compactness and the axiom of choice. Partially reprinted from the journal Applied Categorical Structures 4, No. 1 (1996). Zbl 0881.54027Herrlich, Horst 7 1996 The structure of initial completions. Zbl 0436.18001Adamek, J.; Herrlich, Horst; Strecker, George E. 7 1979 Productivity of coreflective classes of topological groups. Zbl 1009.54041Herrlich, Horst; Hušek, Miroslav 7 1999 On the number of Russell’s socks or \(2+2+2+\dots=?\). Zbl 1150.03017Herrlich, Horst; Tachtsis, Eleftherios 7 2006 Nicht alle \(T_ 2\)-minimalen Räume sind von 2. Kategorie. (Not all \(T_ 2\)-minimal spaces are of second category). Zbl 0142.20803Herrlich, Horst 7 1966 Remarks on the Stone spaces of the integers and the reals without AC. Zbl 1242.03072Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios 6 2011 Filter convergence via sequential convergence. Zbl 0591.54003Beattie, R.; Butzmann, Heinz-Peter; Herrlich, Horst 6 1986 Universal completions of concrete categories. Zbl 0494.18003Herrlich, Horst 6 1982 Categorical topology – its origins, as exemplified by the unfolding of the theory of topological reflections and coreflections before 1971. Zbl 0906.54001Herrlich, Horst; Strecker, George 6 1997 Light factorization structures. Zbl 0407.54006Herrlich, Horst; Salicrup, Graciela; Vazquez, Roberto 6 1979 Cartesian closed topological hulls as injective hulls. Zbl 0614.18003Herrlich, Horst; Strecker, George E. 6 1986 On the extendibility of continuous functions. Zbl 0288.54023Herrlich, Horst 6 1974 Products of Lindelöf \(T_2\)-spaces are Lindelöf – in some models of ZF. Zbl 1072.03029Herrlich, Horst 5 2002 Least and largest initial completions. II. Zbl 0404.18006Adamek, J.; Herrlich, Horst; Strecker, George E. 5 1979 An example in category theory. Zbl 0179.32102Herrlich, Horst 5 1970 Essentially equational categories. Zbl 0659.18010Adámek, Jiří; Herrlich, Horst; Rosický, Jiří 5 1988 Is the construct of \(L\)-topological spaces a co-tower extension of some simpler construct? Zbl 0986.54020Herrlich, Horst; Zhang, Dexue 5 2001 Identities in categories. Zbl 0243.18009Herrlich, Horst; Ringel, Claus Michael 5 1972 The finite and the infinite. Zbl 1236.18004Herrlich, Horst 4 2011 Free adjunction of morphisms. Zbl 0977.18001Schröder, Lutz; Herrlich, Horst 4 2000 The category of Cauchy spaces is Cartesian closed. Zbl 0634.54009Bentley, H. L.; Herrlich, Horst; Lowen-Colebunders, E. 4 1987 Completeness for nearness spaces. Zbl 0463.54022Bentley, H. L.; Herrlich, Horst 4 1979 Collected works. Vol. III: Set theory (1927, 1935). Descriptive set theory and topology. Edited by U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz. (Gesammelte Werke. Band III: Mengenlehre (1927, 1935). Deskriptive Mengenlehre und Topologie.) Zbl 1149.01022Hausdorff, Felix 4 2008 Separation axioms and direct limits. Zbl 0179.51103Herrlich, Horst 4 1969 Compactness as an operator. Zbl 0186.55902de Groot, J.; Herrlich, Horst; Strecker, George E.; Wattel, E. 4 1969 The axiom of choice holds iff maximal closed filters exist. Zbl 1027.03039Herrlich, Horst 4 2003 Strengthening Alexander’s subbase theorem. Zbl 0169.25001Strecker, George E.; Wattel, E.; Herrlich, Horst; de Groot, J. 4 1968 Merotopological spaces. Zbl 1052.54022Bentley, H. L.; Herrlich, H. 4 2004 Regular-closed, Urysohn-closed and completely Hausdorff-closed spaces. Zbl 0214.49501Herrlich, Horst 4 1970 A characterization of k-ary algebraic categories. Zbl 0277.18007Herrlich, Horst 4 1971 The cardinal inequality \(\alpha^2<2^{\alpha}\). Zbl 1274.03068Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios 3 2011 Compact \(T_ 0\)-spaces and \(T_ 0\)-compactification. Zbl 0796.54034Herrlich, Horst 3 1993 Choice principles in elementary topology and analysis. Zbl 0938.54007Herrlich, Horst 3 1997 On countable products of finite Hausdorff spaces. Zbl 0959.03033Herrlich, Horst; Keremedis, Kyriakos 3 2000 Compactness and the axiom of choice. Zbl 0881.54026Herrlich, Horst 3 1996 On extensions of countable filterbases to ultrafilters and ultrafilter compactness. Zbl 1436.03254Herrlich, Horst; Howard, Paul; Keremedis, Kyriakos 1 2018 On the solvability of systems of linear equations over the ring \(\mathbb{Z}\) of integers. Zbl 1463.03017Herrlich, Horst; Tachtsis, Eleftherios 1 2017 Finiteness classes and small violations of choice. Zbl 1436.03255Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios 2 2016 On preimages of ultrafilters in ZF. Zbl 1389.03010Herrlich, Horst; Howard, Paul; Keremedis, Kyriakos 1 2016 On a certain notion of finite and a finiteness class in set theory without choice. Zbl 1356.03081Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios 3 2015 On the metric reflection of a pseudometric space in ZF. Zbl 1340.54045Herrlich, Horst; Keremedis, Kyriakos 2 2015 Separable connected metric spaces need not have continuum size in \(\mathbf{ZF}\). Zbl 1283.54020Herrlich, Horst; Keremedis, Kyriakos 1 2014 On special partitions of Dedekind- and Russell-sets. Zbl 1249.05018Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios 2 2012 Remarks on the Stone spaces of the integers and the reals without AC. Zbl 1242.03072Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios 6 2011 The finite and the infinite. Zbl 1236.18004Herrlich, Horst 4 2011 The cardinal inequality \(\alpha^2<2^{\alpha}\). Zbl 1274.03068Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios 3 2011 Remarks on the space \(\aleph_{1}\) in \(\mathbf {ZF}\). Zbl 1211.54038Herrlich, Horst; Keremedis, Kyriakos 2 2011 On Russell and anti Russell-cardinals. Zbl 1274.03071Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios 2 2010 Odd-sized partitions of Russell-sets. Zbl 1201.03040Herrlich, Horst; Tachtsis, Eleftherios 1 2010 On super second countable and super separable metric spaces. Zbl 1169.03039Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios 2 2009 Canonical subbase-compactness of topological products. Zbl 1173.03039Herrlich, Horst 1 2009 Collected works. Vol. III: Set theory (1927, 1935). Descriptive set theory and topology. Edited by U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz. (Gesammelte Werke. Band III: Mengenlehre (1927, 1935). Deskriptive Mengenlehre und Topologie.) Zbl 1149.01022Hausdorff, Felix 4 2008 Category theory. An introduction. 3rd ed. Zbl 1125.18300Herrlich, Horst; Strecker, George E. 29 2007 Binary partitions in the absence of choice or rearranging Russell’s socks. Zbl 1138.05003Herrlich, Horst 2 2007 Abstract and concrete categories: the joy of cats. Zbl 1113.18001Adámek, Jiří; Herrlich, Horst; Strecker, George E. 101 2006 Axiom of choice. Zbl 1102.03049Herrlich, Horst 80 2006 On the number of Russell’s socks or \(2+2+2+\dots=?\). Zbl 1150.03017Herrlich, Horst; Tachtsis, Eleftherios 7 2006 Countable sums and products of Loeb and selective metric spaces. Zbl 1121.03063Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios 1 2005 Merotopological spaces. Zbl 1052.54022Bentley, H. L.; Herrlich, H. 4 2004 The axiom of choice holds iff maximal closed filters exist. Zbl 1027.03039Herrlich, Horst 4 2003 Weak factorization systems and topological functors. Zbl 0997.18002Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 30 2002 On a generalized small-object argument for the injective subcategory problem. Zbl 1002.18002Adámek, J.; Herrlich, H.; Rosický, J.; Tholen, W. 23 2002 Injective hulls are not natural. Zbl 1061.18010Adámek, Jiří; Herrlich, Horst; Rosický, Jiří; Tholen, Walter 13 2002 Products of Lindelöf \(T_2\)-spaces are Lindelöf – in some models of ZF. Zbl 1072.03029Herrlich, Horst 5 2002 Collected works. Vol. II: Foundations of set theory. (Gesammelte Werke. Band II: Grundzüge der Mengenlehre. Herausgegeben von E. Brieskorn, S. D. Chatterji, M. Epple, U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz.) Zbl 1010.01031Hausdorff, Felix 2 2002 A characterization of the prime closed filter compactification of a topological space. Zbl 1036.54007Bentley, H. L.; Herrlich, H. 1 2002 Is the construct of \(L\)-topological spaces a co-tower extension of some simpler construct? Zbl 0986.54020Herrlich, Horst; Zhang, Dexue 5 2001 Free factorizations. Zbl 1005.18002Schröder, Lutz; Herrlich, Horst 2 2001 On the strict completion of a nearness space. Zbl 0974.54017Bentley, H. L.; Herrlich, Horst 2 2001 Abelian groups: simultaneously reflective and coreflective subcategories versus modules. Zbl 0988.20046El Bashir, Robert; Herrlich, Horst; Hušek, Miroslav 1 2001 Nearness, subfitness and sequential regularity. Zbl 0978.54001Herrlich, Horst; Pultr, A. 9 2000 Free adjunction of morphisms. Zbl 0977.18001Schröder, Lutz; Herrlich, Horst 4 2000 On countable products of finite Hausdorff spaces. Zbl 0959.03033Herrlich, Horst; Keremedis, Kyriakos 3 2000 The Baire category theorem and choice. Zbl 0991.54036Herrlich, Horst; Keremedis, Kyriakos 2 2000 On simultaneously reflective and coreflective subconstructs. Zbl 0986.18005Herrlich, Horst; Lowen, Robert 15 1999 Productivity of coreflective classes of topological groups. Zbl 1009.54041Herrlich, Horst; Hušek, Miroslav 7 1999 Powers of 2. Zbl 1058.03050Keremedis, Kyriakos; Herrlich, Horst 2 1999 Products, the Baire category theorem, and the axiom of dependent choice. Zbl 1010.03037Herrlich, Horst; Keremedis, Kyriakos 2 1999 Categorical properties of probabilistic convergence spaces. Zbl 0917.54003Herrlich, Horst; Zhang, Dexue 8 1998 The historical development of uniform, proximal, and nearness concepts in topology. Zbl 0936.54028Bentley, H. L.; Herrlich, Horst; Hušek, Miroslav 8 1998 Countable choice and pseudometric spaces. Zbl 0922.03068Bentley, H. L.; Herrlich, Horst 8 1998 Doitchinov’s construct of supertopological spaces is topological. Zbl 0940.54016Bentley, H. L.; Herrlich, Horst 1 1998 Morita-extensions and nearness-completions. Zbl 0894.54022Bentley, H. L.; Herrlich, Horst 1 1998 When is \(\mathbb N\) Lindelöf? Zbl 0938.54008Herrlich, Horst; Strecker, George E. 8 1997 Categorical topology – its origins, as exemplified by the unfolding of the theory of topological reflections and coreflections before 1971. Zbl 0906.54001Herrlich, Horst; Strecker, George 6 1997 Choice principles in elementary topology and analysis. Zbl 0938.54007Herrlich, Horst 3 1997 Maximal filters, continuity and choice principles. Zbl 0905.03033Herrlich, Horst; Steprāns, Juris 3 1997 The Ascoli theorem is equivalent to the Boolean prime ideal theorem. Zbl 0880.54005Herrlich, Horst 1 1997 Compactness and the axiom of choice. Partially reprinted from the journal Applied Categorical Structures 4, No. 1 (1996). Zbl 0881.54027Herrlich, Horst 7 1996 Compactness and the axiom of choice. Zbl 0881.54026Herrlich, Horst 3 1996 Almost reflective subcategories of \(\mathbf T \mathbf o \mathbf p\). Zbl 0805.54016Herrlich, Horst 8 1993 Some open categorical problems in Top. Zbl 0791.54012Herrlich, Horst; Hušek, Miroslav 8 1993 Compact \(T_ 0\)-spaces and \(T_ 0\)-compactification. Zbl 0796.54034Herrlich, Horst 3 1993 Epireflections which are completions. Zbl 0760.18004Brümmer, G. C. L.; Giuli, E.; Herrlich, Horst 25 1992 Hyperconvex hulls of metric spaces. Zbl 0759.54015Herrlich, Horst 7 1992 Categorical topology. Zbl 0797.54023Herrlich, Horst; Hušek, Miroslav 7 1992 Recent developments of general topology and its applications. International conference in memory of Felix Hausdorff (1868 - 1942), held in Berlin, Germany, March 22-28, 1992. Zbl 0781.00012 2 1992 Compactness = completeness \(\cap\) total boundedness – A natural example of a non-reflective intersection of reflective subcategories. Zbl 0790.54008Bentley, H. L.; Herrlich, Horst 2 1992 Convenient topological constructs. Zbl 0772.54008Herrlich, Horst 2 1992 Improving Top: PrTop and PsTop. Zbl 0753.18003Herrlich, Horst; Lowen-Colebunders, E.; Schwarz, F. 16 1991 Improving constructions in topology. Zbl 0753.18002Bentley, H. L.; Herrlich, Horst; Lowen, R. 10 1991 Algebra \(\cup\) Topology. Zbl 0748.18002Herrlich, Horst; Mossakowski, T.; Strecker, George E. 1 1991 Abstract and concrete categories. The joy of cats. Zbl 0695.18001Adámek, Jiří; Herrlich, Horst; Strecker, George E. 732 1990 Galois connections categorically. Zbl 0718.18001Herrlich, Horst; Hušek, Miroslav 10 1990 Convergence. Zbl 0741.54006Bentley, H. L.; Herrlich, Horst; Lowen-Colebunders, E. 8 1990 A characterization of concrete quasitopoi by injectivity. Zbl 0732.18002Adámek, J.; Herrlich, Horst 2 1990 Remarks on categories of algebras defined by a proper class of operations. Zbl 0733.18004Herrlich, Horst 2 1990 Monadic decompositions. Zbl 0675.18001Adámek, Jiří; Herrlich, Horst; Tholen, Walter 11 1989 Realizations of topologies and closure operators by set systems and by neighbourhoods. Zbl 0705.54001Herrlich, Horst 1 1989 Topologie II: Uniforme Räume. Mit zwei Zeichnungen von Volker Kühn. Zbl 0644.54001Herrlich, Horst 8 1988 Hereditary topological constructs. Zbl 0662.18003Herrlich, Horst 8 1988 Essentially equational categories. Zbl 0659.18010Adámek, Jiří; Herrlich, Horst; Rosický, Jiří 5 1988 On the representability of partial morphisms in Top and in related constructs. Zbl 0662.18004Herrlich, Horst 2 1988 Factorizations, denseness, separation, and relatively compact objects. Zbl 0629.18003Herrlich, Horst; Salicrup, G.; Strecker, George E. 35 1987 Topological improvements of categories of structured sets. Zbl 0632.54008Herrlich, Horst 14 1987 The category of Cauchy spaces is Cartesian closed. Zbl 0634.54009Bentley, H. L.; Herrlich, Horst; Lowen-Colebunders, E. 4 1987 Cartesian closed categories, quasitopoi and topological universes. Zbl 0601.18003Adámek, Jiří; Herrlich, Horst 9 1986 Essentially algebraic categories. Zbl 0605.18004Herrlich, Horst 9 1986 Filter convergence via sequential convergence. Zbl 0591.54003Beattie, R.; Butzmann, Heinz-Peter; Herrlich, Horst 6 1986 Cartesian closed topological hulls as injective hulls. Zbl 0614.18003Herrlich, Horst; Strecker, George E. 6 1986 Topologie I. Topologische Räume. Unter Mitarb. von H. Bargenda. Zbl 0628.54002Herrlich, Horst 2 1986 Topological structures and injectivity. Zbl 0589.54018Herrlich, Horst 1 1986 Cartesian closed categories, quasitopoi and topological universes. Zbl 0597.18002Adámek, Jiří; Herrlich, Horst 1 1986 Ascoli’s theorem for a class of merotopic spaces. Zbl 0576.54020Bentley, H. L.; Herrlich, Horst 2 1985 Convergence structures 1984. Proceedings of the Conference on Convergence held in Bechyně, Czechoslovakia, September 24-28, 1984. Zbl 0572.00013 1 1985 Universal topology. Zbl 0548.18004Herrlich, Horst 1 1984 Categorical topology 1971-1981. Zbl 0502.54001Herrlich, Horst 16 1983 Are there convenient subcategories of Top? Zbl 0538.18004Herrlich, Horst 12 1983 The quasicategory of quasispaces is illegitimate. Zbl 0522.54009Herrlich, Horst; Rajagopalan, M. 2 1983 Universal completions of concrete categories. Zbl 0494.18003Herrlich, Horst 6 1982 The coreflective hull of the contigual spaces in the category of merotopic spaces. Zbl 0561.54019Bentley, H. L.; Herrlich, Horst 2 1982 Equivalence of topologically-algebraic and semi-topological functors. Zbl 0435.18002Herrlich, Horst; Nakagawa, R.; Strecker, George E.; Titcomb, T. 12 1980 Category theory. An introduction. 2nd ed. Zbl 0437.18001Herrlich, Horst; Strecker, George E. 113 1979 Semi-universal maps and universal initial completions. Zbl 0379.18008Herrlich, Horst; Strecker, George E. 23 1979 Dispersed factorization structures. Zbl 0435.18003Herrlich, Horst; Salicrup, Graciela; Vazquez, Roberto 21 1979 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,211 Authors 49 Herrlich, Horst 47 Tholen, Walter 32 Adámek, Jiří 32 Tachtsis, Eleftherios 31 Solovyov, Sergey A. 30 Hager, Anthony W. 30 Rosický, Jiří 28 Lowen, Robert 27 Keremedis, Kyriakos 25 Colebunders, Eva 24 Hušek, Miroslav 24 Zhang, Dexue 22 Porst, Hans-Eberhard 20 Giuli, Eraldo 20 Hofmann, Dirk 20 Šlapal, Josef 19 Castellini, Gabriele 18 Pultr, Aleš 17 Clementino, Maria Manuel 16 Erné, Marcel 16 Strecker, George E. 16 Zhao, Bin 15 Bentley, Herschel Lamar 15 Dikranjan, Dikran N. 15 Pang, Bin 15 Sioen, Mark 15 Wajch, Eliza 14 Ehrig, Hartmut 14 Fay, Temple H. 13 Höhle, Ulrich 13 Martínez, Jorge L. 13 Shi, Fu-Gui 12 Fang, Jinming 12 Holgate, David B. 12 Trnková, Věra 11 Alderton, Ian W. 11 Cagliari, Francesca 11 Han, Shengwei 11 Hoffmann, Rudolf- Eberhard 11 Li, Shenggang 11 Mašulović, Dragan 11 Paseka, Jan 11 Schauerte, Anneliese 10 Brown, Lawrence Michael 10 Dimov, Georgi D. 10 Frith, John L. 10 Mantovani, Sandra 10 Wischnewsky, Manfred Bernd 9 Bezhanishvili, Guram 9 Künzi, Hans-Peter A. 9 Picado, Jorge 9 Schröder, Lutz 9 Sousa, Lurdes 9 Srivastava, Arun Kamar 9 Zhang, Xia 8 Ahsanullah, T. M. G. 8 Ball, Richard N. 8 Bayoumi, Fatma 8 Börger, Reinhard 8 Carrera, Ricardo E. 8 Demirci, Mustafa 8 Hosseini, Seyed Naser 8 Jäger, Gunther 8 Koubek, Vaclav 8 Mynard, Frédéric 8 Nel, Louis Daniel 8 Yao, Wei 7 Banaschewski, Bernhard 7 Činčura, Juraj 7 Diaconescu, Răzvan 7 Dost, Şenol 7 Frič, Roman 7 Hegner, Stephen J. 7 Kreowski, Hans-Jörg 7 Mirhosseinkhani, Ghasem 7 Morsi, Nehad Nashaat 7 Rodabaugh, Stephen Ernest 7 Sichler, Jiří Jan 7 Stephenson, Robert M. jun. 7 Tozzi, Anna 7 Walls, Gary Lee 7 Wang, Kaiyun 7 Wuyts, P. 7 Xia, Changchun 7 Yildiz, Filiz 7 Yue, Yueli 6 Eklund, Patrik E. 6 Gerlo, A. 6 Gutierres, Gonçalo 6 Gutiérrez García, Javier 6 Howard, Paul E. 6 Lai, Hongliang 6 Li, Lingqiang 6 Lowe, Michael J. S. 6 Mahmoudi, Mojgan 6 Močkoř, Jiří 6 Morandi, Patrick J. 6 Mossakowski, Till 6 Preuß, Gerhard 6 Šostak, Alexander P. ...and 1,111 more Authors all top 5 Cited in 207 Serials 236 Topology and its Applications 189 Fuzzy Sets and Systems 145 Applied Categorical Structures 88 Journal of Pure and Applied Algebra 81 Quaestiones Mathematicae 73 Cahiers de Topologie et Géométrie Différentielle Catégoriques 53 Theoretical Computer Science 47 Algebra Universalis 34 Proceedings of the American Mathematical Society 30 Acta Mathematica Hungarica 25 Transactions of the American Mathematical Society 21 Communications in Algebra 20 Theory and Applications of Categories 19 Czechoslovak Mathematical Journal 19 Mathematical Logic Quarterly (MLQ) 18 Soft Computing 16 Journal of Algebra 15 Advances in Mathematics 15 Mathematische Zeitschrift 14 Journal of Computer and System Sciences 13 Archiv der Mathematik 13 Manuscripta Mathematica 13 Semigroup Forum 13 Annals of Pure and Applied Logic 12 Mathematica Slovaca 11 Mathematische Nachrichten 11 Categories and General Algebraic Structures with Applications 10 Studia Logica 10 Archive for Mathematical Logic 10 Cahiers de Topologie et Géométrie Différentielle Catégoriques 10 Iranian Journal of Fuzzy Systems 9 Information Sciences 9 Monatshefte für Mathematik 9 Order 9 Information and Computation 8 Periodica Mathematica Hungarica 8 Filomat 8 Journal of Logical and Algebraic Methods in Programming 7 Bulletin of the Australian Mathematical Society 7 International Journal of Theoretical Physics 7 Journal of Mathematical Analysis and Applications 7 Rocky Mountain Journal of Mathematics 7 Commentationes Mathematicae Universitatis Carolinae 7 International Journal of Mathematics and Mathematical Sciences 7 The Journal of Symbolic Logic 7 International Journal of Approximate Reasoning 7 Hacettepe Journal of Mathematics and Statistics 7 Logical Methods in Computer Science 6 Israel Journal of Mathematics 6 Mathematische Annalen 6 Rendiconti del Seminario Matematico della Università di Padova 6 Journal of Mathematical Sciences (New York) 6 Annals of Mathematics and Artificial Intelligence 6 Journal of Algebra and its Applications 6 Open Mathematics 5 Computers & Mathematics with Applications 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Kybernetika 5 Mathematical Systems Theory 5 Notre Dame Journal of Formal Logic 5 Applied General Topology 4 Mathematical Notes 4 Demonstratio Mathematica 4 Journal of Soviet Mathematics 4 European Journal of Combinatorics 4 MSCS. Mathematical Structures in Computer Science 4 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Discrete Mathematics 3 Journal of Philosophical Logic 3 Results in Mathematics 3 Synthese 3 Journal of Symbolic Computation 3 Aequationes Mathematicae 3 Linear Algebra and its Applications 3 Indagationes Mathematicae. New Series 3 Topology Proceedings 3 Journal of the Egyptian Mathematical Society 3 The Bulletin of Symbolic Logic 3 The Journal of Logic and Algebraic Programming 3 Mathematics in Computer Science 3 Formalized Mathematics 3 Arabian Journal of Mathematics 3 Computability 3 Journal of Linear and Topological Algebra 2 Acta Informatica 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 2 Journal of Combinatorial Theory. Series A 2 Matematički Vesnik 2 Siberian Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Discrete & Computational Geometry 2 Formal Aspects of Computing 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 RAIRO. Informatique Théorique et Applications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Algebraic Combinatorics ...and 107 more Serials all top 5 Cited in 45 Fields 974 Category theory; homological algebra (18-XX) 900 General topology (54-XX) 371 Order, lattices, ordered algebraic structures (06-XX) 310 Mathematical logic and foundations (03-XX) 188 Computer science (68-XX) 129 General algebraic systems (08-XX) 81 Functional analysis (46-XX) 66 Group theory and generalizations (20-XX) 54 Associative rings and algebras (16-XX) 53 Algebraic topology (55-XX) 48 Topological groups, Lie groups (22-XX) 33 Combinatorics (05-XX) 20 Commutative algebra (13-XX) 18 Quantum theory (81-XX) 12 Nonassociative rings and algebras (17-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Convex and discrete geometry (52-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Measure and integration (28-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 8 Systems theory; control (93-XX) 7 General and overarching topics; collections (00-XX) 7 Algebraic geometry (14-XX) 7 Differential geometry (53-XX) 6 History and biography (01-XX) 5 Operator theory (47-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 \(K\)-theory (19-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-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 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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