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arXiv · 1708.01754

Diagonals of separately continuous maps with values in box products

Olena Karlova·Volodymyr Mykhaylyuk
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Abstract

We prove that if $X$ is a paracompact connected space and $Z=\prod_{s\in S}Z_s$ is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map $g:X\to Z$ there exists a separately continuous map $f:X^2\to Z$ such that $f(x,x)=g(x)$ for all $x\in X$.

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Olena Karlova, Volodymyr Mykhaylyuk. 2017-08-05. Diagonals of separately continuous maps with values in box products. https://arxiv.org/abs/1708.01754

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