Linearly ordered compact sets and co-Namioka spaces

  • V. V. Mykhailyuk


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.
How to Cite
Mykhailyuk, V. V. “Linearly Ordered Compact Sets and Co-Namioka Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 7, July 2007, pp. 1001–1004,
Short communications