Ukrainian Mathematical Journal

, Volume 55, Issue 5, pp 866–872 | Cite as

Construction of Separately Continuous Functions with Given Restriction

  • V. V. Mykhailyuk
Article
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Abstract

We solve the problem of the construction of separately continuous functions on a product of two topological spaces with given restriction. It is shown, in particular, that, for an arbitrary topological space X and a function g: XR of the first Baire class, there exists a separately continuous function f: X × XR such that f(x, x) = g(x) for every xX.

Keywords

Continuous Function Topological Space Baire Class Arbitrary Topological Space Separately Continuous Function 
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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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • V. V. Mykhailyuk
    • 1
  1. 1.Chernivtsi National UniversityChernivtsi

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