Game Approach to Universally Kuratowski-Ulam Spaces
General Topology
2016-12-30 v1
Abstract
We consider a version of the open-open game, indicating its connections with universally Kuratowski-Ulam spaces. We show that: Every I-favorable space is universally Kuratowski-Ulam, (Theorem 8); If a compact space Y is I-favorable, then the hyperspace exp(Y) with the Vietoris topology is I-favorable, and hence universally Kuratowski-Ulam, (Theorems 6 and 9). Notions of uK-U and uK-U* spaces are compared.
Keywords
Cite
@article{arxiv.math/0605469,
title = {Game Approach to Universally Kuratowski-Ulam Spaces},
author = {A. Kucharski and SZ. Plewik},
journal= {arXiv preprint arXiv:math/0605469},
year = {2016}
}
Comments
The paper is accepted for publication in "Topology and its Applications." (12 pages)