A note on discrete sets
General Topology
2010-07-02 v1
Abstract
We give several partial positive answers to a question of Juhasz and Szentmiklossy regarding the minimum number of discrete sets required to cover a compact space. We study the relationship between the size of discrete sets, free sequences and their closures with the cardinality of a Hausdorff space, improving known results in the literature.
Cite
@article{arxiv.0905.3588,
title = {A note on discrete sets},
author = {Santi Spadaro},
journal= {arXiv preprint arXiv:0905.3588},
year = {2010}
}
Comments
14 pages, to appear on Commentationes Mathematicae Universitatis Carolinae