Geodesic
A note on discrete sets
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 3, pp. 463-475.

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We give several partial positive answers to a question of Juhász and Szentmiklóssy 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.
Classification : 54A25
Keywords: discrete set; dispersion character; compact space; Eberlein compact; free sequence; elementary submodel 
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Spadaro, Santi. A note on discrete sets. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 3, pp. 463-475. http://geodesic.mathdoc.fr/item/CMUC_2009__50_3_a11/