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Author ID: hofmann.dirk Recent zbMATH articles by "Hofmann, Dirk"
Published as: Hofmann, Dirk; Hofmann, D.
External Links: MGP
Documents Indexed: 60 Publications since 1999, including 1 Book
1 Contribution as Editor
Reviewing Activity: 5 Reviews
Co-Authors: 24 Co-Authors with 51 Joint Publications
352 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 528 times in 205 Documents Cited by Year
Monoidal topology. A categorical approach to order, metric, and topology. Zbl 1297.18001
61
2014
Topological features of Lax algebras. Zbl 1024.18003
Clementino, Maria Manuel; Hofmann, Dirk
48
2003
One setting for all: Metric, topology, uniformity, approach structure. Zbl 1051.18005
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
37
2004
Topological theories and closed objects. Zbl 1127.18001
Hofmann, Dirk
33
2007
Approximation in quantale-enriched categories. Zbl 1233.06004
Hofmann, Dirk; Waszkiewicz, Paweł
25
2011
Probabilistic metric spaces as enriched categories. Zbl 1262.18007
Hofmann, Dirk; Reis, C. D.
25
2013
Lawvere completeness in topology. Zbl 1173.18001
Clementino, Maria Manuel; Hofmann, Dirk
21
2009
Triquotient maps via ultrafilter convergence. Zbl 1008.54011
Clementino, Maria Manuel; Hofmann, Dirk
18
2002
Lawvere completion and separation via closure. Zbl 1207.18006
Hofmann, Dirk; Tholen, Walter
15
2010
Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday). Zbl 1032.18002
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
15
2003
Effective descent morphisms in categories of lax algebras. Zbl 1078.18008
Clementino, Maria Manuel; Hofmann, Dirk
14
2004
Injective spaces via adjunction. Zbl 1228.18001
Hofmann, Dirk
14
2011
On extensions of lax monads. Zbl 1085.18006
Clementino, Maria Manuel; Hofmann, Dirk
13
2004
Approaching metric domains. Zbl 1294.06009
Gutierres, Gonçalo; Hofmann, Dirk
12
2013
An algebraic description of regular epimorphisms in topology. Zbl 1072.18002
Hofmann, Dirk
11
2005
Relative injectivity as cocompleteness for a class of distributors. Zbl 1161.18300
Clementino, Maria Manuel; Hofmann, Dirk
11
2008
Duality for distributive spaces. Zbl 1288.18002
Hofmann, Dirk
10
2013
A duality of quantale-enriched categories. Zbl 1280.18007
Hofmann, Dirk; Waszkiewicz, Paweł
10
2012
Exponentiation in \({\mathcal V}\)-categories. Zbl 1155.18007
Clementino, Maria Manuel; Hofmann, Dirk
9
2006
The monads of classical algebra are seldom weakly Cartesian. Zbl 1309.18004
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
9
2014
The enriched Vietoris monad on representable spaces. Zbl 1315.18007
Hofmann, Dirk
8
2014
The convergence approach to exponentiable maps. Zbl 1078.54011
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
8
2003
A generalization of the duality compactness theorem. Zbl 1002.18004
Hofmann, Dirk
8
2002
Kleisli compositions for topological spaces. Zbl 1103.54001
Hofmann, Dirk; Tholen, Walter
7
2006
Affine sets: the structure of complete objects and duality. Zbl 1171.54011
Giuli, Eraldo; Hofmann, Dirk
7
2009
On exponentiability of étale algebraic homomorphisms. Zbl 1409.18004
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
6
2013
Lax algebra meets topology. Zbl 1253.18006
Hofmann, Dirk; Tholen, Walter
5
2012
Local homeomorphisms via ultrafilter convergence. Zbl 1061.54012
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
5
2005
Cartesian closed exact completions in topology. Zbl 1443.18001
Clementino, Maria Manuel; Hofmann, Dirk; Ribeiro, Willian
4
2020
The rise and fall of \(V\)-functors. Zbl 1390.18019
Clementino, Maria Manuel; Hofmann, Dirk
4
2017
Representable \((\mathbb{T},\mathbf{V})\)-categories. Zbl 1328.18003
Chikhladze, D.; Clementino, M. M.; Hofmann, D.
4
2015
Exponentiation for unitary structures. Zbl 1105.18002
Hofmann, Dirk
4
2006
On the completion monad via the Yoneda embedding in quasi-uniform spaces. Zbl 1229.54017
Clementino, Maria Manuel; Hofmann, Dirk
4
2011
Continuity as a computational effect. Zbl 1355.68059
Neves, Renato; Barbosa, Luis S.; Hofmann, Dirk; Martins, Manuel A.
4
2016
Towards Stone duality for topological theories. Zbl 1254.06007
Hofmann, Dirk; Stubbe, Isar
4
2011
Generating the algebraic theory of \(C(X)\): the case of partially ordered compact spaces. Zbl 1419.18003
Hofmann, Dirk; Neves, Renato; Nora, Pedro
3
2018
Topology from enrichment: the curious case of partial metrics. Zbl 1407.18008
Hofmann, Dirk; Stubbe, Isar
3
2018
Axioms for sequential convergence. Zbl 1145.54018
Gutierres, Gonçalo; Hofmann, Dirk
3
2007
Descent morphisms and a van Kampen theorem in categories of lax algebras. Zbl 1253.18004
Clementino, Maria Manuel; Hofmann, Dirk
3
2012
A four for the price of one duality principle for distributive spaces. Zbl 1282.54010
Hofmann, Dirk
3
2013
Lax algebras. Zbl 1300.18004
Hofmann, Dirk; Seal, Gavin J.; Tholen, Walter
3
2014
Enriched Stone-type dualities. Zbl 1446.03107
Hofmann, Dirk; Nora, Pedro
2
2018
Exponentiable approach spaces. Zbl 1330.54007
Hofmann, Dirk; Seal, Gavin J.
2
2015
Two-dilaton theories in two dimensions from dimensional reduction. Zbl 0987.83039
Grumiller, D.; Hofmann, D.; Kummer, W.
2
2001
On limit stability of special classes of continuous maps. Zbl 1020.54011
Clementino, Maria Manuel; Hofmann, Dirk
2
2002
Convergence and quantale-enriched categories. Zbl 1407.18002
Hofmann, Dirk; Reis, Carla D.
1
2018
Aspects of algebraic algebras. Zbl 1456.18006
Hofmann, Dirk; Sousa, Lurdes
1
2017
Limits in categories of Vietoris coalgebras. Zbl 1417.68108
Hofmann, Dirk; Neves, Renato; Nora, Pedro
1
2019
Hausdorff coalgebras. Zbl 1464.18009
Hofmann, Dirk; Nora, Pedro
1
2020
A cottage industry of lax extensions. Zbl 1353.18003
Hofmann, Dirk; Seal, Gavin J.
1
2015
Covering morphisms in categories of relational algebras. Zbl 1306.18002
Manuel Clementino, Maria; Hofmann, Dirk; Montoli, Andrea
1
2014
On a generalization of the Stone–Weierstrass theorem. Zbl 1014.18001
Hofmann, Dirk
1
2002
On exponentiable morphisms in classical algebra. Zbl 1349.18011
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
1
2016
Dualities for modal algebras from the point of view of triples. Zbl 1431.18004
Hofmann, Dirk; Nora, Pedro
1
2015
Cartesian closed exact completions in topology. Zbl 1443.18001
Clementino, Maria Manuel; Hofmann, Dirk; Ribeiro, Willian
4
2020
Hausdorff coalgebras. Zbl 1464.18009
Hofmann, Dirk; Nora, Pedro
1
2020
Limits in categories of Vietoris coalgebras. Zbl 1417.68108
Hofmann, Dirk; Neves, Renato; Nora, Pedro
1
2019
Generating the algebraic theory of \(C(X)\): the case of partially ordered compact spaces. Zbl 1419.18003
Hofmann, Dirk; Neves, Renato; Nora, Pedro
3
2018
Topology from enrichment: the curious case of partial metrics. Zbl 1407.18008
Hofmann, Dirk; Stubbe, Isar
3
2018
Enriched Stone-type dualities. Zbl 1446.03107
Hofmann, Dirk; Nora, Pedro
2
2018
Convergence and quantale-enriched categories. Zbl 1407.18002
Hofmann, Dirk; Reis, Carla D.
1
2018
The rise and fall of \(V\)-functors. Zbl 1390.18019
Clementino, Maria Manuel; Hofmann, Dirk
4
2017
Aspects of algebraic algebras. Zbl 1456.18006
Hofmann, Dirk; Sousa, Lurdes
1
2017
Continuity as a computational effect. Zbl 1355.68059
Neves, Renato; Barbosa, Luis S.; Hofmann, Dirk; Martins, Manuel A.
4
2016
On exponentiable morphisms in classical algebra. Zbl 1349.18011
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
1
2016
Representable \((\mathbb{T},\mathbf{V})\)-categories. Zbl 1328.18003
Chikhladze, D.; Clementino, M. M.; Hofmann, D.
4
2015
Exponentiable approach spaces. Zbl 1330.54007
Hofmann, Dirk; Seal, Gavin J.
2
2015
A cottage industry of lax extensions. Zbl 1353.18003
Hofmann, Dirk; Seal, Gavin J.
1
2015
Dualities for modal algebras from the point of view of triples. Zbl 1431.18004
Hofmann, Dirk; Nora, Pedro
1
2015
Monoidal topology. A categorical approach to order, metric, and topology. Zbl 1297.18001
61
2014
The monads of classical algebra are seldom weakly Cartesian. Zbl 1309.18004
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
9
2014
The enriched Vietoris monad on representable spaces. Zbl 1315.18007
Hofmann, Dirk
8
2014
Lax algebras. Zbl 1300.18004
Hofmann, Dirk; Seal, Gavin J.; Tholen, Walter
3
2014
Covering morphisms in categories of relational algebras. Zbl 1306.18002
Manuel Clementino, Maria; Hofmann, Dirk; Montoli, Andrea
1
2014
Probabilistic metric spaces as enriched categories. Zbl 1262.18007
Hofmann, Dirk; Reis, C. D.
25
2013
Approaching metric domains. Zbl 1294.06009
Gutierres, Gonçalo; Hofmann, Dirk
12
2013
Duality for distributive spaces. Zbl 1288.18002
Hofmann, Dirk
10
2013
On exponentiability of étale algebraic homomorphisms. Zbl 1409.18004
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
6
2013
A four for the price of one duality principle for distributive spaces. Zbl 1282.54010
Hofmann, Dirk
3
2013
A duality of quantale-enriched categories. Zbl 1280.18007
Hofmann, Dirk; Waszkiewicz, Paweł
10
2012
Lax algebra meets topology. Zbl 1253.18006
Hofmann, Dirk; Tholen, Walter
5
2012
Descent morphisms and a van Kampen theorem in categories of lax algebras. Zbl 1253.18004
Clementino, Maria Manuel; Hofmann, Dirk
3
2012
Approximation in quantale-enriched categories. Zbl 1233.06004
Hofmann, Dirk; Waszkiewicz, Paweł
25
2011
Injective spaces via adjunction. Zbl 1228.18001
Hofmann, Dirk
14
2011
On the completion monad via the Yoneda embedding in quasi-uniform spaces. Zbl 1229.54017
Clementino, Maria Manuel; Hofmann, Dirk
4
2011
Towards Stone duality for topological theories. Zbl 1254.06007
Hofmann, Dirk; Stubbe, Isar
4
2011
Lawvere completion and separation via closure. Zbl 1207.18006
Hofmann, Dirk; Tholen, Walter
15
2010
Lawvere completeness in topology. Zbl 1173.18001
Clementino, Maria Manuel; Hofmann, Dirk
21
2009
Affine sets: the structure of complete objects and duality. Zbl 1171.54011
Giuli, Eraldo; Hofmann, Dirk
7
2009
Relative injectivity as cocompleteness for a class of distributors. Zbl 1161.18300
Clementino, Maria Manuel; Hofmann, Dirk
11
2008
Topological theories and closed objects. Zbl 1127.18001
Hofmann, Dirk
33
2007
Axioms for sequential convergence. Zbl 1145.54018
Gutierres, Gonçalo; Hofmann, Dirk
3
2007
Exponentiation in \({\mathcal V}\)-categories. Zbl 1155.18007
Clementino, Maria Manuel; Hofmann, Dirk
9
2006
Kleisli compositions for topological spaces. Zbl 1103.54001
Hofmann, Dirk; Tholen, Walter
7
2006
Exponentiation for unitary structures. Zbl 1105.18002
Hofmann, Dirk
4
2006
An algebraic description of regular epimorphisms in topology. Zbl 1072.18002
Hofmann, Dirk
11
2005
Local homeomorphisms via ultrafilter convergence. Zbl 1061.54012
Clementino, Maria Manuel; Hofmann, Dirk; Janelidze, George
5
2005
One setting for all: Metric, topology, uniformity, approach structure. Zbl 1051.18005
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
37
2004
Effective descent morphisms in categories of lax algebras. Zbl 1078.18008
Clementino, Maria Manuel; Hofmann, Dirk
14
2004
On extensions of lax monads. Zbl 1085.18006
Clementino, Maria Manuel; Hofmann, Dirk
13
2004
Topological features of Lax algebras. Zbl 1024.18003
Clementino, Maria Manuel; Hofmann, Dirk
48
2003
Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday). Zbl 1032.18002
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
15
2003
The convergence approach to exponentiable maps. Zbl 1078.54011
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
8
2003
Triquotient maps via ultrafilter convergence. Zbl 1008.54011
Clementino, Maria Manuel; Hofmann, Dirk
18
2002
A generalization of the duality compactness theorem. Zbl 1002.18004
Hofmann, Dirk
8
2002
On limit stability of special classes of continuous maps. Zbl 1020.54011
Clementino, Maria Manuel; Hofmann, Dirk
2
2002
On a generalization of the Stone–Weierstrass theorem. Zbl 1014.18001
Hofmann, Dirk
1
2002
Two-dilaton theories in two dimensions from dimensional reduction. Zbl 0987.83039
Grumiller, D.; Hofmann, D.; Kummer, W.
2
2001
all top 5

Cited by 161 Authors

37 Hofmann, Dirk
23 Clementino, Maria Manuel
19 Tholen, Walter
13 Lai, Hongliang
10 Solovyov, Sergey A.
9 Janelidze, George
9 Zhang, Dexue
8 Colebunders, Eva
8 Shen, Lili
6 Han, Shengwei
5 Künzi, Hans-Peter A.
5 Neves, Renato
5 Nora, Pedro
5 Waszkiewicz, Paweł
5 Zhao, Bin
4 Davey, Brian A.
4 Fang, Jinming
4 Jäger, Gunther
4 Sioen, Mark
4 Stubbe, Isar
4 Yue, Yueli
3 Gutierres, Gonçalo
3 Johansen, Sarah M.
3 Liu, Min
3 Lowen, Robert
3 Priestley, Hilary A.
3 Razafindrakoto, Ando
3 Ribeiro, Willian
3 Schröder, Lutz
3 Seal, Gavin J.
3 Sousa, Lurdes
3 Van Den Haute, Wouter
3 van Opdenbosch, Karen
3 Wild, Paul
2 Abbadini, Marco
2 Barbosa, Luís Soares
2 Bonchi, Filippo
2 Cagliari, Francesca
2 Coecke, Bob
2 Demirci, Mustafa
2 Denniston, Jeffrey T.
2 Gray, James Richard Andrew
2 Gutiérrez García, Javier
2 Haviar, Miroslav
2 Höhle, Ulrich
2 Holgate, David B.
2 Kostanek, Mateusz
2 Koudenburg, Seerp Roald
2 Lowen, Wendy
2 Lucatelli Nunes, Fernando
2 Mantovani, Sandra
2 Marsden, Dan
2 Martinelli, Eros
2 Melton, Austin C. jun.
2 Mestdagh, Joris
2 Montoli, Andrea
2 Rodabaugh, Stephen Ernest
2 Weiss, Ittay
2 Xia, Changchun
2 Xu, Xiaoting
2 Yeganeh, Leila
2 Zhang, Gao
1 Adámek, Jiří
1 Agyingi, Collins Amburo
1 Ahsanullah, T. M. G.
1 Akhvlediani, Andrei
1 Al-Mufarrij, Jawaher
1 Al-Thukair, Fawzi A.
1 Álvarez López, Jesús Antonio
1 Antoniuk, Sylwia
1 Balan, Adriana
1 Barral Lijó, Ramón
1 Basile, Pier Giorgio
1 Bhattacharya, Ritabrata
1 Bice, Tristan Matthew
1 Bruno, Jorge L.
1 Candel, Alberto
1 Carvalho, Margarida
1 Chiaselotti, Giampiero
1 Chikhladze, Dimitri
1 Cook, Derek S.
1 de Prada Vicente, María Angeles
1 De Wachter, Stefan
1 Fang, Zhou
1 Freese, Ralph S.
1 Fritz, Tobias
1 Fujii, Soichiro
1 Gaba, Yaé Ulrich
1 García-Martínez, Xabier
1 Garner, Richard
1 Gehrke, Mai
1 Genovese, Fabrizio
1 Giuli, Eraldo
1 Gogioso, Stefano
1 Goncharov, Sergeĭ Savost’yanovich
1 Gumm, Heinz-Peter
1 Gürlebeck, Klaus
1 Haihambo, Paulus
1 He, Jialiang
1 Heunen, Chris
...and 61 more Authors
all top 5

Cited in 41 Serials

37 Topology and its Applications
36 Applied Categorical Structures
32 Fuzzy Sets and Systems
19 Journal of Pure and Applied Algebra
13 Theory and Applications of Categories
9 Algebra Universalis
4 Quaestiones Mathematicae
4 Iranian Journal of Fuzzy Systems
3 Advances in Mathematics
3 MSCS. Mathematical Structures in Computer Science
2 Semigroup Forum
2 Studia Logica
2 Theoretical Computer Science
2 Topology Proceedings
2 Abstract and Applied Analysis
2 Logical Methods in Computer Science
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Matematički Vesnik
1 Proceedings of the American Mathematical Society
1 Acta Mathematica Hungarica
1 Order
1 Forum Mathematicum
1 International Journal of Algebra and Computation
1 International Journal of Foundations of Computer Science
1 Nuclear Physics. B. Proceedings Supplements
1 Filomat
1 Soft Computing
1 Journal of High Energy Physics
1 Journal of the Australian Mathematical Society
1 Journal of Applied Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Fixed Point Theory and Applications
1 Journal of Homotopy and Related Structures
1 Tbilisi Mathematical Journal
1 Topological Algebra and its Applications
1 Categories and General Algebraic Structures with Applications

Citations by Year