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arXiv · 1809.05508

A non-discrete space $X$ with $C_p(X)$ Menger at infinity

Angelo Bella·Rodrigo Hernández-Gutiérrez
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Abstract

In a paper by Bella, Tokg\"os 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.

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BibTeXRIS

Angelo Bella, Rodrigo Hernández-Gutiérrez. 2018-09-14. A non-discrete space $X$ with $C_p(X)$ Menger at infinity. https://doi.org/10.4995/agt.2019.10714

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