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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
The monoid consisting of Kuratowski operations
Szymon Plewik, Marta Walczyńska
The paper fills gaps in knowledge about Kuratowski operations which are already in the literature. The Cayley table for these operations has been drawn up. Techniques, using only p…
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…