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arXiv · 1601.06488

Linearly ordered compacts and co-Namioka spaces

V. V. Mykhaylyuk
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Abstract

It is shown that for any Baire space $X$, linearly ordered compact $Y$ and separately continuous mapping $f:X\times Y\to\mathbb R$ there exists a dense in $X$ $G_δ$-set $A\subseteq X$ such that $f$ is jointly continuous at every point of $A\times Y$, i.e. any linearly ordered compact is a co-Namioka space.

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V. V. Mykhaylyuk. 2016-01-25. Linearly ordered compacts and co-Namioka spaces. https://arxiv.org/abs/1601.06488

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