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.
How to Cite
Mykhailyuk, V. V. “Construction of Separately Continuous Functions With Given Restriction”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 5, May 2003, pp. 716-21,
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