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arXiv · 1608.00639

On piecewise continuous mappings of metrizable spaces

Sergey Medvedev
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Abstract

Let $f \colon X \rightarrow Y$ be a resolvable-measurable mapping of a metrizable space $X$ to a regular space $Y$. Then $f$ is piecewise continuous. Additionally, for a metrizable completely Baire space $X$, it is proved that $f$ is resolvable-measurable if and only if it is piecewise continuous.

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Sergey Medvedev. 2016-08-01. On piecewise continuous mappings of metrizable spaces. https://arxiv.org/abs/1608.00639

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