arXiv Analytics

Sign in

arXiv:1809.05508 [math.GN]AbstractReferencesReviewsResources

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

Angelo Bella, Rodrigo Hernández-Gutiérrez

Published 2018-09-14Version 1

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.

Categories: math.GN
Subjects: 54D20, 54A35, 54C35, 54D40, 54D80, 54H11
Related articles: Most relevant | Search more
arXiv:1906.08498 [math.GN] (Published 2019-06-20)
A T_0 Compactification Of A Tychonoff Space Using The Rings Of Baire One Functions
arXiv:2208.05547 [math.GN] (Published 2022-08-10)
Linear homeomorphisms of function spaces and the position of a space in its compactification
arXiv:math/0509607 [math.GN] (Published 2005-09-26)
o-Boundedness of free objects over a Tychonoff space

Links

Toolbox