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Points of Continuity of Quasi-Continuous Functions Cover
Open Access
|Nov 2020

References

  1. [1] ALLECHE, B.: Weakly developable and weakly k-developable spaces, and the Vietoris topology, Topology Appl. 111 (2001), 3–19.10.1016/S0166-8641(99)00191-1
  2. [2] BAIRE, R.: Sur les fonctions des variables reelles, Ann. Mat. Pura Appl. 3 (1899), 1–123.10.1007/BF02419243
  3. [3] BANAKH, T.: Quasicontinuous and separate continuous functions with value in Maslyuchenko spaces, Topology Appl. 230 (2017), 353–372.10.1016/j.topol.2017.08.016
  4. [4] BOUZIAD, A.: Continuity of separately continuous group actions in p-spaces, Topology Appl. 71 (1996), 119–124.10.1016/0166-8641(95)00039-9
  5. [5] BOUZIAD, A.: Every Cech-analytic Baire semitopological group is a topological group, Proc. Amer. Math. Soc. 124 (1996), 953–959.10.1090/S0002-9939-96-03384-9
  6. [6] BOUZIAD, A.: Cliquishness and quasicontinyity of two variable maps, Canad. Math. Bull. 56 (2013), 55–64.10.4153/CMB-2011-141-3
  7. [7] GILES, J. R.—BARTLETT, M. O.: Modified continuity and a generalization of Michael’s selection theorem, Set-Valued Analysis 1 (1993), 365–378.10.1007/BF01027826
  8. [8] GRUENHAGE, G.: Infinite games and generalizations of first countable spaces, General Topology and Appl. 6 (1976), 339–352.10.1016/0016-660X(76)90024-6
  9. [9] HAHN, H. : Über Funktionen mehrerer Veränderlichen, die nach jeder einzelnen Veränderlichen stetig sind, Math. Zeitschr. 4 (1919), 306–313.10.1007/BF01203018
  10. [10] HOLÁ, L.—MIRMOSTAFAEE, A. K.: Norm continuity of quasicontinuous mappings into Cp(Y), Colloq. Math 154 (2018), 97–105.10.4064/cm7162-12-2017
  11. [11] HOLÁ, L.—PIOTROWSKI, Z.: Set of continuity points of functions with values in generalized metric spaces, Tatra Mt. Math. Publ. 42 (2009), 149–160.10.2478/v10127-009-0014-9
  12. [12] KEMPISTY, S.: Sur les fonctions quasi-continus, Fund. Math. 19 (1932), 184–197.10.4064/fm-19-1-184-197
  13. [13] LEE, I. P.—PIOTRWOSKI, Z.: On Kempisty’s generalized continuity, Rend. Circ. Mat. Palermo 34 (1985), 380–386.10.1007/BF02844532
  14. [14] LIN, P.—MOORS, W. B.: Rich families, W -spaces and the product of Baire spaces,Math. Balkanica (N.S.) 22 (2008), 175–187.
  15. [15] MARTIN, N.F.G.: Quasi-continuous functions on product paces,, Duke Math. J. 28 (1961), 39–44.10.1215/S0012-7094-61-02804-6
  16. [16] MASLYUCHENKO, V.—MYKHAYLYUK, V. V.—SHYSHYNA, O. I.: Joint continuity of horizontal quasi-continuous mappings with values in σ-metrizable spaces, Mat. Metody i Fiz.-Mekh. Polya 45 (2002), 42–46.
  17. [17] MASLYUCHENKO, V.—MYRONYK, O.—FILIPCHUK, O.: Joint continuity of KhC-functions with values in Moore spaces, Ukrain. Mat. Zh. 60 (2008), 1539–1547. (In Ukrainian)10.1007/s11253-009-0170-8
  18. [18] MASLYUCHENKO, V.—MYRONYK, O.—FILIPCHUK, O.: Joint continuity of continuous mappings with values in completely regular spaces, Tatra Mt. Math. Publ. 68 (2017), 47–58.10.1515/tmmp-2017-0004
  19. [19] MASLYUCHENKO, V. K.—NESTERENKO, V. V.: Joint continuity and quasi-continuity of horizontally quasicontinuous mappings, Ukrainian Math. J. 52 (2000), 1952–1955.10.1023/A:1010468229216
  20. [20] MIRMOSTAFAEE, A. K.: Norm continuity of weakly quasi-continuous mappings, Colloq. Math. 122 (2011), 83–91.10.4064/cm122-1-8
  21. [21] MIRMOSTAFAEE, A. K.: Topological games and strong quasi-continuity, Banach J. Math. Anal. 5 (2011), 131–137.10.15352/bjma/1313363009
  22. [22] MIRMOSTAFAEE, A. K.: Quasi-continuity of horizontally quasi-continuous functions, Real Anal. Exchange 39 (2013/2014), 335–344.10.14321/realanalexch.39.2.0335
  23. [23] MIRMOSTAFAEE, A. K.: Points of upper and lower semicontinuity of multivalued functions, Ukranian Math. J. 69 (2017), 1224–1231.10.1007/s11253-018-1441-z
  24. [24] MOORS, W. B.: Semitopological groups, Bouziad spaces and topological groups, Topology Appl. 160 (2013), 2038–2048.10.1016/j.topol.2013.08.008
  25. [25] NEUBRUNN, T.: Quasi-continuity, Real. Anal. Exchange 14 (1988/1989), 259–306.10.2307/44151947
  26. [26] PIOTROWSKI, Z.: Continuity points in {x}× Y, Bull. Soc. France 108 (1980), 113–115.10.24033/bsmf.1911
  27. [27] PIOTROWSKI, Z.: On the theorems of Y. Mibu and G. Debs on separate continuity, Internat. J. Math. Sci. 19 (1996), 495–500.10.1155/S0161171296000695
  28. [28] WESTON, J. O.: Some theorems on cluster sets, J. London Math. Soc. 33 (1958), 435–441.10.1112/jlms/s1-33.4.435
DOI: https://doi.org/10.2478/tmmp-2020-0017 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 53 - 62
Submitted on: Jul 8, 2019
Published on: Nov 4, 2020
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Marzieh Neghaban, Alireza Kamel Mirmostafaee, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.