Published articles

Published in peer-reviewed professional journals

1. F. Mynard, Concrete functors that respect initiality and finality, to appear in Applied General Topology, vol 24(1), 2023 https://doi.org/10.4995/agt.2023.18771 

2. F. Mynard and Jerzy Wojciechowski, When is a category of adherence-determined convergences simple?  Topology and its Applications 322 (2022) Arxiv version.

3. F. Mynard, On points of convergence lattices and sobriety for convergence spaces,  Topology and its Applications 319(2022), Arxiv Version

4. E. Angulo-Perkins and F. Mynard, Subobjects and compactness in pointfree convergence, Journal of Mathematics https://doi.org/10.1155/2023/7510966 (2023) 

5. F. Mynard, Approach Theory and pointfree convergence, Topology Proceedings 61 (2023) Pages 31-47 [PDF]

6. F. Mynard, Order convergence and convergence in the interval topology in the presence of compactoidness, Cahiers de Topologie et Géométrie Différentielle Catégoriques, vol. LXII (4), 491-496,2021 [PDF]

7. F. Mynard, Comparison of countability conditions within three fundamentals classifications of convergences, Topology and its Applications, vol. 278 (2020), 38 pages [PDF] https://doi.org/10.1016/j.topol.2020.107233

8. F. Mynard, (ultra-) completeness numbers and (pseudo-) paving numbers, Topology and its applications 256: 86-103, 2019 [PDF] https://doi.org/10.1016/j.topol.2019.01.006

9. J. Goubault-Larrecq and F. Mynard, Convergence without points, Houston Journal of Mathematics, 46(1):227-282, 2020 [PDF]

10. F. Chigr and F. Mynard, The convergence-theoretic approach to weakly first countable spaces and symmetrizable spaces,  Mathematica Slovaca vol. 69, no. 1, 2019, pp. 185-198. https://doi.org/10.1515/ms-2017-0213 [PDF] 

11. F. Mynard, Distinguishing the plane from the punctured plane without homotopy,  Mathematics Magazine 91(1): 16-19, 2018 [PDF proofs version] 

12. S. Dolecki and F. Mynard, Productively sequential spaces, Mathematica Slovaca  vol. 68, no. 3, 2018, pp. 667-676. https://doi.org/10.1515/ms-2017-0133  [PDF]

13. F. Mynard and M.Tkachenko, Remarks on metrizability of dual groups,  Topology Proceedings, 47: 273-278, 2016. [PDF]

14.   F. Mynard and W. Trott, Measure of compactness for filters in product spaces: Kuratowski-Mròwka in CAP revisited, Topology and its Applications, 200: 251-267, 2016. [PDF]

15.    Dirk Hofmann, Frédéric Mynard and Gavin Seal, Exponential Kleisli monoids as Eilenberg-Moore algebras, Applied Categorical Structures, 23(2):137-157, 2015. [PDF]

16.  S. Dolecki and F. Mynard, A unified theory of function spaces and hyperspaces: local properties,  Houston Journal of Math. 40(1), 285-318, 2014. [PDF]

17. Eva Colebunders, Frédéric Mynard, and William Trott (Master Student), Function spaces and contractive extensions in Approach Theory: The role of regularity, Applied Categorical Structures, 22(3): 551-563, 2014. [PDF] 

18. Frédéric Mynard, A convergence-theoretic viewpoint on the Arzelà-Ascoli Theorem (expository), Real Analysis Exchange, 38(2): 431-444, 2013. [PDF] 

19.  F. Jordan and F. Mynard, Core compactness and diagonality in spaces of open sets.  Applied General Topology, 12(2): 143-162, 2011. [PDF]

20.  S. Dolecki, F. Jordan and F. Mynard, Group topologies coarser than the Isbell topology, Topology and its Applications 158(15): 1962-1968, 2011. [PDF]

21.  R.Kopperman, F. Mynard and P. Ruse quasi-metric representations of various categories of closure spaces, Topology Proceedings, 37: 331-347, 2011. [PDF]

22.  S. Dolecki  and F. Mynard When is the Isbell topology a group topology? Topology and its Applications 157(8):1370-1378, 2010. [PDF]

23. Frédéric Mynard and Gavin Seal, Phenotype Spaces, Journal of Mathematical Biology, Vol. 60 No 2:  247-266, 2010. [PDF]

24. Frédéric Mynard, Measure of compactness for filters in the approach setting. Quaestiones Mathematicae 31, 189–201, 2008. [PDF] 

25. S. Dolecki, F. Jordan and F. Mynard, Reflective classes of sequentially based convergences, sequential continuity and sequence-rich filters. Topology Proceedings 31 No. 2, pp. 457-479, 2007. [PDF]

26. Frédéric Mynard, Products of compact filters and applications to classical product theorems. Topology and its Applications, 154(4): p. 953-968, 2007. [PDF]

27. Frédéric Mynard, Unified characterization of exponential objects in TOP, PRTOP and PARATOP, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 48, No. 1, pp. 70-80, 2007. [PDF]

28. Anh Tran Mynard and Frédéric Mynard, Closure spaces and characterization of filters in terms of their Stone images. Czechoslovak Mathematical Journal, Vol. 57, No. 3, pp. 1025-1034, 2007. [PDF]

29. F. Jordan, Iwo Labuda and Frédéric Mynard, Finite products of filters that are compact relative to a class of filters. Applied General Topology, 8(2):161-170, 2007. [PDF]

30. Frédéric Mynard,  Relations that preserve compact filters. Applied General Topology, 8(2):171-185, 2007. [PDF]

31. F. Jordan and F. Mynard, Compatible relations on filters and stability of local topological properties under supremum and  product,  Topology and its Applications 153: 2386-2412, 2006. [PDF]

32. David Gauld and Frédéric Mynard, Differentiability as continuity, Real Analysis Exchange 31(2):425-430, 2005/2006. [PDF]

33. David Gauld and Frédéric Mynard, Metrisability of manifolds in terms of function spaces. Houston Journal of Mathematics, Volume 31, No. 1, pp. 199-214, 2005. [PDF]

34. F. Jordan and F. Mynard, Productively Fréchet spaces. Czechoslovak Mathematical Journal, Vol. 54, No. 4, pp. 981-990, 2004. [PDF]

35. S. Dolecki and F. Mynard,  Hyperconvergences.  Applied General Topology, Volume 4 No. 2: 391-419, 2003. [PDF] 

36. F. Jordan and F. Mynard, Espaces productivement de Fréchet,  Comptes Rendus de l’ Académie des Sciences Paris, Ser I 335, 259-262, 2002. [PDF] 

37. Frédéric Mynard, Coreflectively modified duality.  Rocky Mountain Mathematical Journal, Volume 34 No. 2 (Summer): 733-758, 2004. [PDF]

38. Frédéric Mynard, First-countability, sequentiality and tightness of the upper Kuratowski convergence. Rocky Mountain Mathematical Journal, Volume 33 No. 3 (Fall): 1011-1038, 2003. [PDF]

39. Frédéric Mynard, When are compact, countably compact and Lindelöf convergences topological ? Topology Proceedings, 26 No. 1, pp. 283-296, 2002. [PDF]

40. Frédéric Mynard, More on strongly sequential spaces. Commentationes Mathematicae Universitatis Carolinae  43,3: 525-530, 2002. [PDF]

41. Frédéric Mynard, Coreflectively modified continuous duality applied to classical product theorems, Applied General Topology, Volume 2, No. 2, pp. 119-154, 2001. [PDF]

42. S. Dolecki and F. Mynard, Convergence-theoretic mechanisms behind product theorems, Topology and its Applications, 104: 67-99, 2000. [PDF]

43. S. Dolecki and F. Mynard, Cascades and multifilters, Topology and its Applications, 104: 53-65, 2000. [PDF]

44. Frédéric Mynard, Strongly sequential spaces, Commentationes Mathematicae Universitatis Carolinae, 41, 1: 143-153, 2000. [PDF]

Invited book chapter

45. Dimtris Georgiou, Stavros Illiadis and Frédéric Mynard, Function space topologies, Open Problems in Topology II, Elliot Pearl (editor), Elsevier 2007. [PDF]

46.  F. Mynard, Espacios de convergencia. Parte I: ¿por qué? in Topología y sus Aplicaciones, Juan Angoa (editor), Benemérita Universidad Autónoma de Puebla, México [PDF]