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.
@article{bwmeta1.element.doi-10_1515_amsil-2015-0007,
author = {Piotr Kalemba and Andrzej Kucharski},
title = {Universally Kuratowski--Ulam Spaces And Open-Open Games},
journal = {Annales Mathematicae Silesianae},
volume = {29},
year = {2015},
pages = {85-92},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2015-0007}
}
Piotr Kalemba; Andrzej Kucharski. Universally Kuratowski–Ulam Spaces And Open-Open Games. Annales Mathematicae Silesianae, Tome 29 (2015) pp. 85-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2015-0007/
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