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Rendiconti del Circolo Matematico di Palermo

, Volume 34, Issue 3, pp 380–386 | Cite as

On kempisty's generalized continuity

  • J. P. Lee
  • Z. Piotrowski
Article
  • 20 Downloads

Abstract

We study an analogue of symmetric quasicontinuity in the case of a function defined on the Cartesian product of three spaces. Some results of S. Kempisty, N. F. G. Martin and the second named author are generalized.

Keywords

Generalize Continuity Baire Space Converse Inclusion Joint Continuity Dissertationes Math 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Haworth R. C., McCoy R. A.,Baire spaces, Dissertationes Math.141 (1977), Warsaw.Google Scholar
  2. [2]
    Kempisty S.,Sur les fonctions quasicontinues Fund. Math.19 (1932), 184–197.MATHGoogle Scholar
  3. [3]
    Marcus S.,Sur les fonctions quasicontinues an sens de S. Kempisty, Coll. Math.8 (1961), 47–53.MATHGoogle Scholar
  4. [4]
    Martin N. F. G.,Quasi-continuous functions on product spaces, Duke Math. J.28 (1961), 39–44.MATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    Neubrunn T.,Generalized continuity and separate contnuity, Math. Slovaca27 (1977), 307–314.MATHMathSciNetGoogle Scholar
  6. [6]
    Oxtoby J. C.,Cartesian products of Baire spaces, Fund. Math.,49 (1961), 157–166.MATHMathSciNetGoogle Scholar
  7. [7]
    Piotrowski Z., A. Szymanski,Concerning Blumberg's Theorem, Houston J. Math.10 (1984), 109–115.MATHMathSciNetGoogle Scholar
  8. [8]
    Piotrowski, Z.,Quasi-continuity and product spaces, Proc. Inter. Conf. Geom. Top. (1980) Warsaw, 349–352.Google Scholar

Copyright information

© Springer 1985

Authors and Affiliations

  • J. P. Lee
    • 1
    • 2
  • Z. Piotrowski
    • 1
    • 2
  1. 1.Deparatment of MathematicsState University of New YorkOld Westbury
  2. 2.Department of Mathematics and Computer ScienceYoungstown State UniversityYoungstown

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