## Mynard, Frédéric

Compute Distance To:
 Author ID: mynard.frederic Published as: Mynard, Frédéric; Mynard, Frederic; Mynard, F. External Links: MGP
 Documents Indexed: 41 Publications since 2000, including 2 Books 1 Contribution as Editor Co-Authors: 15 Co-Authors with 26 Joint Publications 295 Co-Co-Authors
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### Co-Authors

 16 single-authored 9 Dolecki, Szymon 7 Jordan, Francis 2 Gauld, David B. 2 Seal, Gavin J. 2 Trott, William 1 Chigr, Fadoua 1 Colebunders, Eva 1 Goubault-Larrecq, Jean 1 Hofmann, Dirk 1 Kopperman, Ralph David 1 Labuda, Iwo 1 Mynard, Anh Tran 1 Pearl, Elliott 1 Ruse, Peter 1 Tkachenko, Mikhail Gelievich
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### Serials

 9 Topology and its Applications 4 Topology Proceedings 4 Applied General Topology 3 Houston Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Commentationes Mathematicae Universitatis Carolinae 2 Czechoslovak Mathematical Journal 2 Mathematica Slovaca 2 Real Analysis Exchange 2 Applied Categorical Structures 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Mathematical Biology 1 Mathematics Magazine 1 Quaestiones Mathematicae 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Contemporary Mathematics 1 Applied General Topology
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### Fields

 41 General topology (54-XX) 5 Category theory; homological algebra (18-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 2 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 115 times in 61 Documents Cited by Year
Convergence foundations of topology. Zbl 1345.54001
Dolecki, Szymon; Mynard, Frédéric
2016
Convergence-theoretic mechanisms behind product theorems. Zbl 0953.54002
Dolecki, Szymon; Mynard, Frédéric
2000
When is the Isbell topology a group topology? Zbl 1195.54036
Dolecki, Szymon; Mynard, Frédéric
2010
Coreflectively modified continuous duality applied to classical product theorems. Zbl 1007.54008
Mynard, Frédéric
2001
Productively Fréchet spaces. Zbl 1080.54506
Jordan, Francis; Mynard, Frédéric
2004
Compatible relations on filters and stability of local topological properties under supremum and product. Zbl 1188.54007
Jordan, Francis; Mynard, Frédéric
2006
Dolecki, Szymon; Mynard, Frédéric
2000
Function spaces and contractive extensions in approach theory: the role of regularity. Zbl 1360.54007
Colebunders, Eva; Mynard, Frédéric; Trott, William
2014
Group topologies coarser than the Isbell topology. Zbl 1228.54020
Dolecki, Szymon; Jordan, Francis; Mynard, Frédéric
2011
First-countability, sequentiality and tightness of the upper Kuratowski convergence. Zbl 1064.54017
Mynard, Frédéric
2003
Strongly sequential spaces. Zbl 1037.54504
Mynard, Frédéric
2000
Finite products of filters that are compact relative to a class of filters. Zbl 1155.54002
Jordan, Francis; Labuda, Iwo; Mynard, Frédéric
2007
Relations that preserve compact filters. Zbl 1151.54006
Mynard, Frédéric
2007
A unified theory of function spaces and hyperspaces: local properties. Zbl 1308.54006
Dolecki, Szymon; Mynard, Frédéric
2014
A convergence-theoretic viewpoint on the Arzelá-Ascoli theorem. Zbl 1295.54004
Mynard, Frédéric
2013
Productively Fréchet spaces. (Espaces productivement de Fréchet.) Zbl 1041.54015
Jordan, Francis; Mynard, Frédéric
2002
Coreflectively modified duality. Zbl 1052.54016
Mynard, Frédéric
2004
Hyperconvergences. Zbl 1068.54010
Dolecki, Szymon; Mynard, Frédéric
2003
When are compact, countably compact and Lindelöf convergences topological? Zbl 1043.54003
Mynard, Frédéric
2002
Products of compact filters and applications to classical product theorems. Zbl 1126.54003
Mynard, Frédéric
2007
Measure of compactness for filters in the approach setting. Zbl 1156.54001
Mynard, Frédéric
2008
Metrisability of manifolds in terms of functions spaces. Zbl 1071.54014
Gauld, David; Mynard, Frédéric
2005
Phenotype spaces. Zbl 1311.92124
Mynard, Frédéric; Seal, Gavin J.
2010
(Ultra-) completeness numbers and (pseudo-) paving numbers. Zbl 1415.54002
Mynard, Frédéric
2019
Closure spaces and characterizations of filters in terms of their Stone images. Zbl 1174.54001
Mynard, Anh Tran; Mynard, Frédéric
2007
Beyond topology. Zbl 1165.54001
2009
Metric representations of categories of closure spaces. Zbl 1202.54002
Kopperman, Ralph; Mynard, F.; Ruse, Peter
2011
Unified characterization of exponential objects in TOP, PRTOP and PARATOP. Zbl 1136.54006
Mynard, Frederic
2007
Reflective classes of sequentially based convergences, sequential continuity and sequence-rich filters. Zbl 1420.54005
Dolecki, Szymon; Jordan, Francis; Mynard, Frédéric
2007
(Ultra-) completeness numbers and (pseudo-) paving numbers. Zbl 1415.54002
Mynard, Frédéric
2019
Convergence foundations of topology. Zbl 1345.54001
Dolecki, Szymon; Mynard, Frédéric
2016
Function spaces and contractive extensions in approach theory: the role of regularity. Zbl 1360.54007
Colebunders, Eva; Mynard, Frédéric; Trott, William
2014
A unified theory of function spaces and hyperspaces: local properties. Zbl 1308.54006
Dolecki, Szymon; Mynard, Frédéric
2014
A convergence-theoretic viewpoint on the Arzelá-Ascoli theorem. Zbl 1295.54004
Mynard, Frédéric
2013
Group topologies coarser than the Isbell topology. Zbl 1228.54020
Dolecki, Szymon; Jordan, Francis; Mynard, Frédéric
2011
Metric representations of categories of closure spaces. Zbl 1202.54002
Kopperman, Ralph; Mynard, F.; Ruse, Peter
2011
When is the Isbell topology a group topology? Zbl 1195.54036
Dolecki, Szymon; Mynard, Frédéric
2010
Phenotype spaces. Zbl 1311.92124
Mynard, Frédéric; Seal, Gavin J.
2010
Beyond topology. Zbl 1165.54001
2009
Measure of compactness for filters in the approach setting. Zbl 1156.54001
Mynard, Frédéric
2008
Finite products of filters that are compact relative to a class of filters. Zbl 1155.54002
Jordan, Francis; Labuda, Iwo; Mynard, Frédéric
2007
Relations that preserve compact filters. Zbl 1151.54006
Mynard, Frédéric
2007
Products of compact filters and applications to classical product theorems. Zbl 1126.54003
Mynard, Frédéric
2007
Closure spaces and characterizations of filters in terms of their Stone images. Zbl 1174.54001
Mynard, Anh Tran; Mynard, Frédéric
2007
Unified characterization of exponential objects in TOP, PRTOP and PARATOP. Zbl 1136.54006
Mynard, Frederic
2007
Reflective classes of sequentially based convergences, sequential continuity and sequence-rich filters. Zbl 1420.54005
Dolecki, Szymon; Jordan, Francis; Mynard, Frédéric
2007
Compatible relations on filters and stability of local topological properties under supremum and product. Zbl 1188.54007
Jordan, Francis; Mynard, Frédéric
2006
Metrisability of manifolds in terms of functions spaces. Zbl 1071.54014
Gauld, David; Mynard, Frédéric
2005
Productively Fréchet spaces. Zbl 1080.54506
Jordan, Francis; Mynard, Frédéric
2004
Coreflectively modified duality. Zbl 1052.54016
Mynard, Frédéric
2004
First-countability, sequentiality and tightness of the upper Kuratowski convergence. Zbl 1064.54017
Mynard, Frédéric
2003
Hyperconvergences. Zbl 1068.54010
Dolecki, Szymon; Mynard, Frédéric
2003
Productively Fréchet spaces. (Espaces productivement de Fréchet.) Zbl 1041.54015
Jordan, Francis; Mynard, Frédéric
2002
When are compact, countably compact and Lindelöf convergences topological? Zbl 1043.54003
Mynard, Frédéric
2002
Coreflectively modified continuous duality applied to classical product theorems. Zbl 1007.54008
Mynard, Frédéric
2001
Convergence-theoretic mechanisms behind product theorems. Zbl 0953.54002
Dolecki, Szymon; Mynard, Frédéric
2000
Dolecki, Szymon; Mynard, Frédéric
2000
Strongly sequential spaces. Zbl 1037.54504
Mynard, Frédéric
2000
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### Cited by 51 Authors

 14 Jordan, Francis 14 Mynard, Frédéric 7 Dolecki, Szymon 5 Starosolski, Andrzej 4 Colebunders, Eva 3 Gauld, David B. 2 Boccuto, Antonio 2 Boustique, Hatim 2 Dimitriou, Xenofon 2 Gupta, Ankit 2 Labuda, Iwo 2 Machura, Michal 2 Richardson, Gary D. 2 Sarma, Ratna Dev 2 Sharma, Pranav 2 van Opdenbosch, Karen 1 Ahsanullah, T. M. G. 1 Al-Thukair, Fawzi A. 1 Assaf, Samer 1 Aurichi, Leandro Fiorini 1 Aydin, Abdullah 1 Bal, Prasenjit 1 Bella, Angelo 1 Bellomo, Nicola 1 Bhowmik, Subrata 1 Coscia, Vincenzo 1 Cuchta, Tom 1 Davis, Brian L. 1 Emel’yanov, Èduard Yur’evich 1 George, Reny 1 Georgiou, Dimitrios N. 1 Gorokhova, Svetlana G. 1 Hamarsheh, Abdulkareem Saleh 1 Iliadis, Stavros D. 1 Insall, Matt 1 Knopoff, Damian A. 1 Lowen, Robert 1 Mezabarba, Renan Maneli 1 Mikusiński, Piotr 1 Mynard, Anh Tran 1 Noble, Norman Lee 1 Nyikos, Peter J. 1 Poppe, Harry 1 Sakai, Masami 1 Seal, Gavin J. 1 Shi, Fu-Gui 1 Sioen, Mark 1 Soler, Juan S. 1 Trott, William 1 Van Den Haute, Wouter 1 Yoshitomi, Kazushi
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### Cited in 26 Serials

 30 Topology and its Applications 3 Rocky Mountain Journal of Mathematics 3 Applied Categorical Structures 2 Czechoslovak Mathematical Journal 2 Annals of Pure and Applied Logic 1 Journal of Mathematical Biology 1 Fuzzy Sets and Systems 1 The Journal of the Indian Mathematical Society. New Series 1 The Journal of Symbolic Logic 1 Mathematica Slovaca 1 Rostocker Mathematisches Kolloquium 1 Mathematical and Computer Modelling 1 Mathematica Bohemica 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Topology Proceedings 1 Filomat 1 Theory and Applications of Categories 1 Journal of Inequalities and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Proyecciones 1 Applied General Topology 1 Journal of Function Spaces 1 Open Mathematics
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### Cited in 17 Fields

 55 General topology (54-XX) 9 Mathematical logic and foundations (03-XX) 5 Category theory; homological algebra (18-XX) 4 Functional analysis (46-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Abstract harmonic analysis (43-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX)