2017
Том 69
№ 9

All Issues

Construction of Separately Continuous Functions with Given Restriction

Mykhailyuk V. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 5, pp 866-872.

Citation Example: Mykhailyuk V. V. Construction of Separately Continuous Functions with Given Restriction // Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 716-721.

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