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

Applied General Topology

Rodrigo Hernández-Gutiérrez¹  Angelo Bella² 

[1] Universidad Autonoma Metropolitana;University of Catania;

关键词: Menger spaces;    non-meager P-filter;    pointwise convergence topology;   

DOI  :  10.4995/agt.2019.10714

来源: DOAJ

【 摘 要 】

In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of Cp(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.

【 授权许可】

Unknown