A non-discrete space X with Cp(X) Menger at infinity
Angelo Bella, Rodrigo Hernández-Gutiérrez
Applied General Topology · 2019
doi:10.4995/agt.2019.10714 (opens in a new tab)
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Abstract
In a paper by Bella, Tokgös 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 σ-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.
Abstract licence: CC BY-NC-ND
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