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math.GN2020
Compact condensations of Hausdorff spaces
Vitalii I. Belugin, Alexander V. Osipov, Evgenii G. Pytkeev
In this paper, we continue to study one of the classic problems in general topology raised by P.S. Alexandrov: when a Hausdorff space has a continuous bijection (a condensation…
math.GN2018
On some properties of the space of upper semicontinuous functions
Alexander V. Osipov, Evgenii G. Pytkeev
For a Tychonoff space , we will denote by () a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X…
math.GN2016
On sequential separability of functional spaces
Alexander V. Osipov, Evgenii G. Pytkeev
In this paper, we give necessary and sufficient conditions for the space B_1(X) of first Baire class functions on a Tychonoff space X, with pointwise topology, to be (strongly) seq…