Infinity-Borel set

id: infinity-borel-set-267-2281143
title: Infinity-Borel set
text: In set theory, a subset of a Polish space X is ∞-Borel if it can be obtained by starting with the open subsets of X , and transfinitely iterating the operations of complementation and well-ordered union. This concept is usually considered without the assumption of the axiom of choice, which means that the ∞-Borel sets may fail to be closed under well-ordered union; see below.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Infinity-Borel_set
date created:
date modified: 2023-12-25T23:35:15Z
main entity: {"identifier":"Q17145837","url":"https://www.wikidata.org/entity/Q17145837"}
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integrity: 13

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