An Observation on Initially $\kappa $-Compact Spaces
General Topology
2017-05-02 v2
Abstract
In \cite{Chaber}, Chaber has proved that countably compact spaces with a quasi -diagonal are compact. We prove that initially % -compact spaces with a quasi -diagonal are compact, for any infinite cardinal $\kappa .
Keywords
Cite
@article{arxiv.1611.06268,
title = {An Observation on Initially $\kappa $-Compact Spaces},
author = {Çetin Vural},
journal= {arXiv preprint arXiv:1611.06268},
year = {2017}
}
Comments
3 pages, corrected typos, made some revision in the exposition