English

Namioka spaces and topological games

General Topology 2015-12-25 v1

Abstract

We introduce a class of βv\beta-v-unfavorable spaces, which contains some known classes of β\beta-unfavorable spaces for topological games of Choquet type. It is proved that every βv\beta-v-unfavorable space XX is a Namioka space, that is for any compact space YY and any separately continuous function f:X×YRf:X\times Y\to \mathbb R there exists a dense in XX GδG_{\delta}-set AXA\subseteq X such that ff is jointly continuous at each point of A×YA\times Y.

Keywords

Cite

@article{arxiv.1512.07474,
  title  = {Namioka spaces and topological games},
  author = {V. V. Mykhaylyuk},
  journal= {arXiv preprint arXiv:1512.07474},
  year   = {2015}
}
R2 v1 2026-06-22T12:16:43.661Z