A note on discrete sets
arXiv:0905.3588
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.
14 pages, to appear on Commentationes Mathematicae Universitatis Carolinae