1 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Hausdorff gaps reconstructed from Luzin gaps
Piotr Kalemba, Szymon Plewik
We consider a question: Can a given AD-family be ADR for two orthogonal uncountable towers? If , then we rebuilt any AD-family of the cardinality onto a Hausdorff pr…
On the ideal
Piotr Kalemba, Szymon Plewik, Anna Wojciechowska
The -ideal is associated with the Silver forcing, see \cite{bre}. Also, it constitutes the family of all completely doughnut null sets, see \cite{hal}. We introduce segm…