2018
Том 70
№ 4

# Linearly ordered compact sets and co-Namioka spaces

Mykhailyuk V. V.

Abstract

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

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 7, pp 1110-1113.

Citation Example: Mykhailyuk V. V. Linearly ordered compact sets and co-Namioka spaces // Ukr. Mat. Zh. - 2007. - 59, № 7. - pp. 1001–1004.

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