Universally Kuratowski–Ulam Spaces And Open-Open Games

Piotr Kalemba; Andrzej Kucharski

doi:10.1515/amsil-2015-0007

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Universally Kuratowski–Ulam Spaces And Open-Open Games

Annales Mathematicae Silesianae

Volume 29 (2015): Issue 1 (September 2015)

By: Piotr Kalemba and Andrzej Kucharski

Open Access

|Sep 2015

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.

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2015-0007 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 85 - 92

Submitted on: Mar 10, 2015

Published on: Sep 30, 2015

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

II-favorable space,

uK-U space,

tiny sequence

MSC:

54G20,

91A44,

54F99

Related subjects:

Mathematics,

General mathematics

© 2015 Piotr Kalemba, Andrzej Kucharski, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 29 (2015): Issue 1 (September 2015)