Vitalii I. Belugin, Alexander V. Osipov, Evgenii G. Pytkeev
Published 2020-07-24Version 1
In this paper, we continue to study one of the classic problems in general topology raised by P.S. Alexandrov: when a Hausdorff space $X$ has a continuous bijection (a condensation) onto a compactum? We concentrate on the situation when not only $X$ but also $X\setminus Y$ can be condensed onto a compactum whenever the cardinality of $Y$ does not exceed certain $\tau$.
A bound for the density of any Hausdorff space
Equivalence of the Rothberger and $2$-Rothberger Games for Hausdorff Spaces
On the cardinality of Hausdorff spaces and H-closed spaces
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