A note on discrete sets

Details A note on discrete sets A note on discrete sets

2009-05-22

arxiv.org/abs/0905.3588v1

Comment. Math. Univ. Carolin. 50 (2009), no. 3, 463--475

Mathematics

General Topology

14 pages, to appear on Commentationes Mathematicae Universitatis Carolinae

Scientific paper

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.

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