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Keywords:
discrete set; dispersion character; compact space; Eberlein compact; free sequence; elementary submodel
discrete set; dispersion character; compact space; Eberlein compact; free sequence; elementary submodel
Summary:
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.
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