Strong measure zero set

id: strong-measure-zero-set-249-11691643
title: Strong measure zero set
text: In mathematical analysis, a strong measure zero set is a subset A of the real line with the following property: Every countable set is a strong measure zero set, and so is every union of countably many strong measure zero sets. Every strong measure zero set has Lebesgue measure 0. The Cantor set is an example of an uncountable set of Lebesgue measure 0 which is not of strong measure zero. Borel's conjecture states that every strong measure zero set is countable. It is now known that this stateme
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original url: https://en.wikipedia.org/wiki/Strong_measure_zero_set
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date modified: 2021-12-13T18:11:29Z
main entity: {"identifier":"Q25303791","url":"https://www.wikidata.org/entity/Q25303791"}
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