Game Approach to Universally Kuratowski-Ulam Spaces

Research paper by A. Kucharski, SZ. Plewik

Indexed on: 17 May '06Published on: 17 May '06Published in: Mathematics - General Topology


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.