One-Point Discontinuities of Separately Continuous Functions on the Product of Two Compact Spaces

• Date: 2005
• Main Authors: Mykhailyuk, V. V., Михайлюк, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3576
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the existence of a separately continuous function $f :\; X \times Y \rightarrow \mathbb{R}$ with a one-point set of points of discontinuity in the case where the topological spaces $X$ and $Y$ satisfy conditions of compactness type. In particular, for the compact spaces $X$ and $Y$ a...