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Displaying similar documents to “The product of two ordinals is hereditarily dually discrete”

A note on discrete sets

Santi Spadaro (2009)

Commentationes Mathematicae Universitatis Carolinae

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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.