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.
SPADARO, S.D. (2009). A note on discrete sets. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 50(3), 463-475.
A note on discrete sets
SPADARO, SANTI DOMENICO
2009-01-01
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.
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