Have a personal or library account? Click to login
Joint Continuity of Separately Continuous Mappings with Values in Completely Regular Spaces Cover

Joint Continuity of Separately Continuous Mappings with Values in Completely Regular Spaces

Open Access
|Nov 2017

References

  1. [1] AARTS, J. M.—LUTZER, D. J.: Pseudo-completeness and the product of Baire spaces, Pacific J. Math. 48 (1973), 1–10.10.2140/pjm.1973.48.1
  2. [2] BAIRE, R.: Sur les fonctions de variables réelles, Ann. Mat. Pura Appl. (4) 3 (1899), 1–123.10.1007/BF02419243
  3. [3] BANAKH, T.: Quasicontinuous and separately continuous functions with values in Maslyuchenko spaces, Topology Appl. (to appear); preprint (http://arxiv.org/abs/1506.01661).
  4. [4] BANAKH, T.: Quasicontinuous functions with values in Piotrowski spaces, preprint (http://arxiv.org/abs/1609.05482).
  5. [5] BOUZIAD, A.—TROALLIC, J. P.: Lower quasicontinuity, joint continuity and related concepts, Topology Appl. 157 (2010), 2889–2894.10.1016/j.topol.2010.10.004
  6. [6] CALBRIX, J.—TROALLIC, J. P.: Applications séparément continues, C.R. Acad. Sc. Paris. Séc. A. 288 (1979), 647–648.
  7. [7] CEDER, J.: Some generalizations of metric spaces, Pacif. J. Math. 11 (1961), 105–126.10.2140/pjm.1961.11.105
  8. [8] CHRISTENSEN, J. P. R.: Joint continuity of separately continuous functions, Proc. Amer. Math. Soc. 82 (1981), 455–461.10.1090/S0002-9939-1981-0612739-1
  9. [9] ENGELKING, R.: General Topology. Mir, Moscow, 1986. (In Russian)
  10. [10] FILIPCHUK, O. I.: On joint continuity of separately continuous mappings and its analogues with values in strongly σ-metrizable spaces, Nauk. Visn. Chernivets’kogo Univ., Mat. 336–337 (2007), 183–188. (In Ukrainian)
  11. [11] FILIPCHUK, O. I.: Separately Continuous Mappings and Their Analogues with Values in Non-Metrizable Spaces. PhD Thesis, 2010. (In Ukrainian)
  12. [12] FILIPCHUK, O. I.: Separately continuous functions with values in the Niemytski plane, in: Book of Abstracts, Int. Conf. dedicated to the 135th anniversary of Hans Hahn, Chernivtsi, Ukraine, 2014, pp. 205–206. (In Ukrainian)
  13. [13] FLEISSNER, W. G.—KUNEN, K.: Barely Baire spaces, Fund. Math. 101 (1978), 229–240.10.4064/fm-101-3-229-240
  14. [14] FROLÍK, Z.: Baire space and some generalizations of complete metric spaces, Czechoslovak Math. J. 11 (1961), 237–248.10.21136/CMJ.1961.100457
  15. [15] HAHN, H.: Über Funktionen mehrerer Veränderlichen, die nach jeder einzelnen Veränderlichen stetig sind, Math. Zeitschr. 4 (1919), 306–313.10.1007/BF01203018
  16. [16] HAHN, H.: Theorie der Reellen Funktionen. 1. Band, J. Springer, Berlin, 1921.10.1007/978-3-642-52624-4_1
  17. [17] HAHN, H.: Reelle Funktionen. 1. Teil. Punktfunktionen. Akademische Verlagsgesellschaft M. B. H., Leipzig, 1932.
  18. [18] HAWORTH, R. C.—MCCOY, R. A.: Baire spaces, Dissertationes Math. (Rozprawy Mat.) 141 (1977), 1–77.
  19. [19] HERNÁNDEZ, C.—MEDINA, L. R.—TKACHENKO, M.: Baire property in product spaces, Appl. Gen. Topol. 16 (2015), 1–13.10.4995/agt.2015.3439
  20. [20] KARLOVA, O. O.—MASLYUCHENKO, V. K.—MYRONYK, O. D.: The Bing plane and separately continuous mappings, Mat. Stud. 38 (2012), 188–193. (In Ukrainian)
  21. [21] KEMPISTY, S.: Sur les fonctions quasicontinues, Fund. Math. 19 (1932), 184–197.10.4064/fm-19-1-184-197
  22. [22] KURATOWSKI, K.: Topology, Tom 1. Mir, Moscow, 1966. (In Russian)10.1016/B978-0-12-429201-7.50005-3
  23. [23] MASLYUCHENKO, O. V.: Construction of ω-Primitives and Some Analogues of Compact Operators. Doctoral Thesis, 2012. (In Ukrainian)
  24. [24] MASLYUCHENKO, V. K.: Separately continuous functions with values in strict inductive limits, in: XIV School on Theory of Operators in Functional Spaces, P. II, Novgorod, Russia, 1989. (In Russian)
  25. [25] MASLYUCHENKO, V. K.: Separately continuous functions with values in inductive limits, Ukraïn. Mat. Zh. 44 (3) (1992), 380–384. (In Ukrainian)10.1007/BF01063133
  26. [26] MASLYUCHENKO, V. K.: Separately Continuous Mappings and Köthe Spaces. Doctoral Thesis, 1999. (In Ukrainian)
  27. [27] MASLYUCHENKO, V. K.: Separately continuous functions of many variables with values in σ-metrizable spaces, Nonlinear Oscil. 2 (1999), 337–344. (In Ukrainian)
  28. [28] MASLYUCHENKO, V. K.: Hahn spaces and Dini’s problem, J. Math. Sci. (New York) 107 (2001), 3577–3582.10.1023/A:1011990123042
  29. [29] MASLYUCHENKO, V. K.: First Types of Topological Vector Spaces. Ruta, Chernivtsi, 2002. (In Ukrainian)
  30. [30] MASLYUCHENKO, V. K.: On separate and joint modifications of continuity, Mat. Stud. 25 (2006), 213–218. (In Ukrainian)
  31. [31] MASLYUCHENKO, V. K.—FILIPCHUK, O. I.: Pointwise discontinuity of KhK-functions with values in σ-metrizable spaces, Nauk. Visn. Chernivets’kogo Univ., Mat. 191–192 (2004), 103–106. (In Ukrainian)
  32. [32] MASLYUCHENKO, V. K.—FILIPCHUK, O. I.: On the point discontinuity of KhC-mappings on continuous curves, Nauk. Visn. Chernivets’kogo Univ., Mat. 314–315 (2006), 122–124. (In Ukrainian)
  33. [33] MASLYUCHENKO, V. K.—FILIPCHUK, O. I.: Regular sequences of normed spaces and joint continuity of separately continuous mappings, Bukovinian Math. J. 3 (2015), 115–119. (In Ukrainian)
  34. [34] MASLYUCHENKO, V. K.—MYKHAYLYUK, V. V.—FILIPCHUK, O. I.: Points of joint continuity of separately continuous mappings with values in the Niemytski plane, Mat. Stud. 26 (2006), 217–221. (In Ukrainian)
  35. [35] MASLYUCHENKO, V. K.—MYKHAYLYUK, V. V.—FILIPCHUK, O. I.: Joint continuity of KhC-functions with values in Moore spaces, Ukraïn. Mat. Zh. 60 (2008), 1539–1547. (In Ukrainian)
  36. [36] MASLYUCHENKO, V. K.—MYKHAYLYUK, V. V.—SHYSHYNA, O. I.: Joint continuity of horizontal quasi-continuous mappings with values in σ-metrizable spaces, Mat. Metody i Fiz.-Mekh. Pólya 45 (2002), 42–46. (In Ukrainian)
  37. [37] MASLYUCHENKO, V. K.—MYKHAYLYUK, V. V.—SOBCHUK, O. V.: On investigation of separately continuous functions, in: Proceedings of Intern. Math. Conf. dedicated to the anniv. of Hans Hahn, 1995, 192–246. (In Ukrainian)
  38. [38] MASLYUCHENKO, V. K.—MYRONYK, O. D.: Separately continuous mappings and stratifiable spaces, Math. Visnyk NTSH 7 (2010), 111–121. (In Ukrainian)
  39. [39] MASLYUCHENKO, V. K.—MYRONYK, O. D.: The Ceder product and stratifiable spaces, Bukovinian Math. J. 1 (2013), 107–112. (In Ukrainian)
  40. [40] MASLYUCHENKO, V. K.—MYRONYK, O. D.: On continuity of KC-functions with values in the Ceder plane, Carpathian Math. Publ. 6 (2014), 329–336.10.15330/cmp.6.2.329-336
  41. [41] MASLYUCHENKO, V. K.—MYRONYK, O. D.—FILIPCHUK, O. I.: Separately continuous mappings with values in completely regular spaces, in: Book of Abstracts, XI Summer School “Algebra, Topology and Analysis”, 2014, pp. 50–51. (In Ukrainian)
  42. [42] MASLYUCHENKO, V. K.—NESTERENKO, V. V.: Joint continuity and quasi-continuity of horizontal quasi-continuous mappings, Ukraïn. Mat. Zh. 52 (2000), 1711–1714. (In Ukrainian)
  43. [43] MASLYUCHENKO, V. K.—NESTERENKO, V. V.: Points of joint continuity and large oscillations, Ukraïn. Mat. Zh. 62 (2010), 791–800. (In Ukrainian)
  44. [44] MASLYUCHENKO, V.—NESTERENKO, V.: A new generalization of Calbrix-Troallic’s theorem, Topology Appl. 164 (2014), 162–169.10.1016/j.topol.2013.12.014
  45. [45] MOORS, W. B.: The product of a Baire with a hereditarily Baire metric space is Baire, Proc. Amer. Math. Soc. 134 (2006), 2161–2163.10.1090/S0002-9939-06-08389-4
  46. [46] MYKHAYLYUK, V. V.: The Namioka property of KC-functions and Kempisty spaces, Topology Appl. 153 (2006), 2455–2461.10.1016/j.topol.2005.09.006
  47. [47] MYKHAYLYUK, V. V.: Coordinate Method and Theory of Separately Continuous Mappings. Doctoral Thesis, 2009. (In Ukrainian)
  48. [48] MYRONYK, O. D.: On separately continuous mappings with values in the Ceder plane, Bukovinian Math. J. 1 (2013), 100–105. (In Ukrainian)
  49. [49] MYRONYK, O. D.: Separately continuous functions with values in the Ceder plane, in: Book of Abstracts, Int. Conf. dedicated to the 135th anniversary of Hans Hahn, Chernivtsi, Ukraine, 2014, pp. 131–132. (In Ukrainian)
  50. [50] MYRONYK, O. D.: On the separately continuous functions with values in the Ceder plane, Bukovinian Math. J. 2 (2014), 173–176. (In Ukrainian)
  51. [51] MYRONYK, O. D.: Stratifiable, Semistratifiable Spaces and Separately Continuous Mappings. PhD Thesis, 2015. (In Ukrainian)
  52. [52] NEUBRUNN, T.: Quasi-continuity, Real Anal. Exch. 14 (1988–1989), 259–306.10.2307/44151947
  53. [53] NESTERENKO, V. V.: Different Types of Quasi-Continuity and its Applications. PhD Thesis, 1999. (In Ukrainian)
  54. [54] OXTOBY, J. C.: Cartesian products of Baire spaces, Fund. Math. 49 (1960/1961), 157–166.10.4064/fm-49-2-157-166
  55. [55] PIOTROWSKI, Z.: Separate and joint continuity, Real Anal. Exch. 11 (1985), 293–322.10.2307/44151750
  56. [56] PIOTROWSKI, Z.: Separate and joint continuity II, Real Anal. Exch. 15 (1989), 248–256.10.2307/44152002
  57. [57] PIOTROWSKI, Z.: Mibu-type theorem, in: Classical Analysis, Proc. Inter. Symp., 1993, Radom, Poland, 1993, pp. 141–147.10.1017/S0308229600024661
  58. [58] PIOTROWSKI, Z.: On the theorems of Y. Mibu and G. Debs on separately continuity, Inter. J. Math. and Math. Sci. 19 (1996), 495–500.10.1155/S0161171296000695
  59. [59] PIOTROWSKI, Z.—WALLER, R.: Baire and weakly Namioka spaces, Topology Appl. 159 (2012), 3294–3299.10.1016/j.topol.2012.07.006
  60. [60] WESTON, J. O.: Some theorem on cluster sets, J. London Math. Soc. 33 (1958), 435–441.10.1112/jlms/s1-33.4.435
  61. [61] WHITE, H. E., JR.: Topological spaces that are α-favorable for a player with perfect information, Proc. Amer. Math. Soc. 50 (1975), 477–482.
DOI: https://doi.org/10.1515/tmmp-2017-0004 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 47 - 58
Submitted on: Feb 3, 2016
Published on: Nov 18, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Volodymyr Maslyuchenko, Oksana Myronyk, Olha Filipchuk, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.