Výsledky vyhledávání - "Korch, Michał"

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Special subsets of the generalized Cantor space $2^\kappa$ and generalized Baire space $\kappa^\kappa$

In this paper, we are interested in parallels to the classical notions of special subsets in $\R$ defined in the generalized Cantor and Baire spaces ($2^\kappa$ and $\kappa^\kappa$). We consider generalizations of the well-known classes of special su

Externí odkaz: http://arxiv.org/abs/1802.05750

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Generalized Egorov's statement for ideals

Autor: Korch, Michał

Publikováno v: Real Anal. Exchange, 42(2), 2017

We consider the generalized Egorov's statement (Egorov's Theorem without the assumption on measurability of the functions, see \cite{tw:nget}) in the case of an ideal convergence and a number of different types of ideal convergence notion. We prove t

Externí odkaz: http://arxiv.org/abs/1802.05303

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On the class of perfectly null sets and its transitive version

Autor: Korch, Michał, Weiss, Tomasz

Publikováno v: Bulletin Polish Acad. Sci. Math. 64 (2016) , 1-20

We introduce two new classes of special subsets of the real line: the class of perfectly null sets and the class of sets which are perfectly null in the transitive sense. These classes may play the role of duals to the corresponding classes on the ca

Externí odkaz: http://arxiv.org/abs/1609.04005

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