<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>G</italic> and <italic>G</italic><sub>7</sub> introduced by P. Daniels, K. Kunen, H. Zhou [Fund. Math. <bold>145</bold> (1994), no. 3, 205–220] are not equivalent.</p></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.

Universally Kuratowski–Ulam Spaces And Open-Open Games

Institute of Mathematics, University of Silesia, Bankowa 14 40-007 Katowice, Poland

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Universally Kuratowski\u2013Ulam Spaces And Open-Open Games"}

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...

Universally Kuratowski–Ulam Spaces And Open-Open Games

Published Online: Sep 30, 2015

Page range: 85 - 92

Received: Mar 10, 2015

DOI: https://doi.org/10.1515/amsil-2015-0007

© Piotr Kalemba et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.