Have a personal or library account? Click to login
Set of continuity points of functions with values in generalized metric spaces Cover

Set of continuity points of functions with values in generalized metric spaces

Tatra Mountains Mathematical Publications
Volume 42 (2009): Issue 1 (April 2009)
By: L’ubica Holá and  Zbigniew Piotrowski  
Open Access
|Nov 2012

References

  1. [AAC] ALLECHE, B.-ARHANGEL’SKII, A. V.-CALBRIX, J.: Weak developments and metrization, Topology Appl. 100 (2000), 23-38.10.1016/S0166-8641(98)00135-7
    Search in Google Scholar
  2. [Bo] BOLSTEIN, R.: Set of points of discontinuity, Proc. Amer. Math. Soc. 38 (1973), 193-197.10.1090/S0002-9939-1973-0312457-9
    Search in Google Scholar
  3. [BLL] BURKE, V.-LUTZER, D.-LEVI, S.: Functional characterizations of certain p-spaces, Topology Appl. 20 (1985), 161-165.10.1016/0166-8641(85)90076-8
    Search in Google Scholar
  4. [CA] CALBRIX, J.-ALLECHE, B.: Multifunctions and ˇCech-complete spaces, in: Proc. Of the 8th Prague Topological Symposium, Prague, Czech Republic, August 18-24, 1996 (P. Simon, ed.), Topology Atlas, Prague, 1997, pp. 30-36.
    Search in Google Scholar
  5. [D] DOBOˇS, J.: On the set of points of discontinuity for functions with closed graphs, ˇCas. pˇest. mat. 110 (1985), 60-68.
    Search in Google Scholar
  6. [E] ENGELKING, R.: General Topology. PWN, Warsaw, 1977.
    Search in Google Scholar
  7. [Gr] GRUENHAGE, G.: Generalized metric spaces, in: Handbook of Set-Theoretic Topology (K. Kunen, J. Vaughan, eds.), North Holland, Amsterdam, 1984, pp. 423-501.10.1016/B978-0-444-86580-9.50013-6
    Search in Google Scholar
  8. [GL] GRUENHAGE, G.-LUTZER, D.: Baire and Volterra spaces, Proc. Amer. Math. Soc. 128 (2000), 3115-3124.10.1090/S0002-9939-00-05346-6
    Search in Google Scholar
  9. [GP1] GAULD, D. B.-PIOTROWSKI, Z.: On Volterra spaces, Far East J. Math. Sci. 1 (1993), 209-214.
    Search in Google Scholar
  10. [GP2] GAULD, D. B.-GREENWOOD, S.-PIOTROWSKI, Z.: On Volterra spaces II, Annals New York Academy of Sciences 806 (1996), 169-173.10.1111/j.1749-6632.1996.tb49167.x
    Search in Google Scholar
  11. [GP3] GAULD, D. B.-GREENWOOD, S.-PIOTROWSKI, Z.: On Volterra spaces III, Topology Proc. 23 (1998), 167-182.
    Search in Google Scholar
  12. [He] HEWITT, E.: A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309-333.10.1215/S0012-7094-43-01029-4
    Search in Google Scholar
  13. [Ke] KELLEY, J.: General Topology. New York, 1955.
    Search in Google Scholar
  14. [KKM] KENDEROV, P. S.-KORTEZOV, I. S.-MOORS, W. B.: Continuity points of quasicontinuous mappings, Topology Appl. 109 (2001), 321-346.10.1016/S0166-8641(99)00180-7
    Search in Google Scholar
  15. [N] NEUBRUNN, T.: Quasi-continuity, Real Anal. Exchange 14 (1988), 259-306.10.2307/44151947
    Search in Google Scholar
  16. [Ra] RAJA: Absolute first Borel class topological spaces (preprint).
    Search in Google Scholar
  17. [P1] PIOTROWSKI, Z.: Separate and joint continuity in Baire groups, Tatra Mt. Math. Publ. 14 (1998), 109-116.
    Search in Google Scholar
  18. [P2] PIOTROWSKI, Z.: Quasi-continuity and product spaces, in: Proc. Intern. Conf. Geom. Topology, Warsaw, 1978, PWN, Warsaw, 1980, pp. 349-352.
    Search in Google Scholar
  19. [PS] PIOTROWSKI, Z.-SZYMANSKI, A.: Closed graph theorem: Topological approach, Rend. Circ. Mat. Palermo (2) 37 (1988), 88-99.10.1007/BF02844269
    Search in Google Scholar
  20. [V] VELICHKO, N. V.: Theory of resolvable spaces, Mat. Zametki 19 (1976), 109-114.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10127-009-0014-9 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Journal RSS Feed
Language: English
Page range: 149 - 160
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
Keywords:
p-space,
Gδ-diagonal,
developable space,
weakly developable space,
quasicontinuous function,
generalized oscillation
Related subjects:
Mathematics,
General mathematics

© 2012 L’ubica Holá, Zbigniew Piotrowski, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Previous articleVolume 42 (2009): Issue 1 (April 2009)Next article