Universally Kuratowski-Ulam space and open-open games

Details Universally Kuratowski-Ulam space and open-open games Universally Kuratowski-Ulam space and open-open games

2012-02-09

arxiv.org/abs/1202.2056v2

Mathematics

General Topology

Scientific paper

We examine the class of spaces in which the second player has winning
strategy in the open-open game. We shown that this space is not an universally
Kuratowski-Ulam. We also show that the games G and G7 introduced by Daniels,
Kunen, Zhou "On the open-open game", Fund. Math. 145 are not equivalent.

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