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arXiv · 1809.05799

On a problem of Talagrand concerning separately continuous functions

Volodymyr Mykhaylyuk·Roman Pol
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Abstract

We construct a separately continuous function $e:E\times K\to\{0,1\}$ on the product of a Baire space $E$ and a zero-dimensional compact space $K$ such that no restriction of $e$ to any non-meager Borel set in $E\times K$ is continuous. The function $e$ provides a negative solution of Talagrand's problem in \cite{T}.

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Volodymyr Mykhaylyuk, Roman Pol. 2018-09-16. On a problem of Talagrand concerning separately continuous functions. https://doi.org/10.1017/s1474748019000677

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