English

Universally Kuratowski-Ulam spaces and open-open games

General Topology 2016-12-30 v3

Abstract

We examine the class of spaces in which the second player has a winning strategy in the open--open game. We show that this spaces are not universally Kuratowski-Ulam. We also show that the games G and G7 introduced by P. Daniels, K. Kunen, H. Zhou [Fund. Math. 145 (1994), no. 3, 205--220] are not equivalent.

Keywords

Cite

@article{arxiv.1202.2056,
  title  = {Universally Kuratowski-Ulam spaces and open-open games},
  author = {Piotr Kalemba and Andrzej Kucharski},
  journal= {arXiv preprint arXiv:1202.2056},
  year   = {2016}
}