In a paper by Bella, Tokgos and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of C-p (X) in some compactification is Menger but not sigma-compact. In this paper we prove that it is consistent that such space exists and in particular its existence follows from the existence of a Menger ultrafilter.
A non-discrete space X with C-p(X) Menger at infinity
Bella, Angelo
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2019-01-01
Abstract
In a paper by Bella, Tokgos and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of C-p (X) in some compactification is Menger but not sigma-compact. In this paper we prove that it is consistent that such space exists and in particular its existence follows from the existence of a Menger ultrafilter.File in questo prodotto:
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