Selections, Paracompactness and Compactness
General Topology
2009-03-23 v1
Abstract
In the present paper, the Lindelof number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of lower semi-continuous closed-valued mappings into complete metrizable (or discrete) spaces.
Cite
@article{arxiv.0903.3514,
title = {Selections, Paracompactness and Compactness},
author = {Mitrofan M. Choban and Ekaterina P. Mihaylova and Stoyan I. Nedev},
journal= {arXiv preprint arXiv:0903.3514},
year = {2009}
}
Comments
23 pages