Ukrainian Mathematical Journal

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

Construction of Separately Continuous Functions with Given Restriction

  • V. V. Mykhailyuk


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.


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