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math.GN2017★ 1 cited
On regular but not completely regular spaces
Piotr Kalemba, Szymon Plewik
We present how to obtain non-comparable regular but not completely regular spaces. We analyze a generalization of Mysior's example, extracting its underlying purely set-theoretic f…
math.GN2012★ 1 cited
Universally Kuratowski-Ulam spaces and open-open games
Piotr Kalemba, Andrzej Kucharski
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…
math.GN2010
Ideals which generalize
Piotr Kalemba, Szymon Plewik
We consider ideals which are generalizations of the ideal . We formulate couterparts of Hadamard's theorem. Then, adopting the base tree theorem and apply…