A note on discrete sets

Mathematics – General Topology

Scientific paper

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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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