2017
Том 69
№ 9

All Issues

Functions of the first Baire class with values in metrizable spaces

Karlova O. O., Mykhailyuk V. V.

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Abstract

We show that every mapping of the first functional Lebesgue class that acts from a topological space into a separable metrizable space that is linearly connected and locally linearly connected belongs to the first Baire class. We prove that the uniform limit of functions of the first Baire class $f_n : \; X \rightarrow Y$ belongs to the first Baire class if $X$ is a topological space and $Y$ is a metric space that is linearly connected and locally linearly connected.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 4, pp 640-644.

Citation Example: Karlova O. O., Mykhailyuk V. V. Functions of the first Baire class with values in metrizable spaces // Ukr. Mat. Zh. - 2006. - 58, № 4. - pp. 568–572.

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