Universally Kuratowski–Ulam spaces and open-open games

Piotr Kalemba; Andrzej Kucharski

Published: 2015-09-30

Vol. 29 (2015)

Universally Kuratowski–Ulam spaces and open-open games

Piotr Kalemba , Andrzej Kucharski

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:

II-favorable space , uK-U space , tiny sequence

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Kalemba, P., & Kucharski, A. (2015). Universally Kuratowski–Ulam spaces and open-open games. Annales Mathematicae Silesianae, 29, 85–92. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13979

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References

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Piotr Kalemba

Affiliation:

Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Andrzej Kucharski

akuchar@math.us.edu.pl

Affiliation:

Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Vol. 29 (2015)
Published: 2015-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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