Open Access

# Points of joint continuity of separately continuous mappings

### Abstract

Let $X$ be a Baire space, $Y$ be a compact Hausdorff space and $f:X \times Y \to \mathbb{R}$ be a separately continuous mapping. For each $y \in Y$, we define a game $G(Y, \{ y \})$ between players $O$ and $P$, to show that if in this game either $O$ player has a winning strategy or $X$ is $\alpha$-favorable and $P$ player does not have a winning strategy, then for each countable subset $E$ of $Y$, there exists a dense $G_\delta$ subset $D$ of $X$ such that $f$ is jointly continuous on $D \times E$.

### Article Information

 Title Points of joint continuity of separately continuous mappings Source Methods Funct. Anal. Topology, Vol. 15 (2009), no. 4, 356-360 MathSciNet MR2603833 Copyright The Author(s) 2009 (CC BY-SA)

### Authors Information

Alireza Kamel Mirmostafaee
Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran; Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Iran

### Citation Example

Alireza Kamel Mirmostafaee, Points of joint continuity of separately continuous mappings, Methods Funct. Anal. Topology 15 (2009), no. 4, 356-360.

### BibTex

@article {MFAT491,
AUTHOR = {Mirmostafaee, Alireza Kamel},
TITLE = {Points of joint continuity of separately continuous mappings},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {15},
YEAR = {2009},
NUMBER = {4},
PAGES = {356-360},
ISSN = {1029-3531},
MRNUMBER = {MR2603833},
URL = {http://mfat.imath.kiev.ua/article/?id=491},
}