A note on discrete sets
classification
🧮 math.GN
keywords
discretesetsspaceanswerscardinalityclosurescompactcover
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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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