Borel isomorphism

id: borel-isomorphism-194-2696796
title: Borel isomorphism
text: In mathematics, a Borel isomorphism is a measurable bijective function between two standard Borel spaces. By Souslin's theorem in standard Borel spaces, the inverse of any such measurable bijective function is also measurable. Borel isomorphisms are closed under composition and under taking of inverses. The set of Borel isomorphisms from a space to itself clearly forms a group under composition. Borel isomorphisms on standard Borel spaces are analogous to homeomorphisms on topological spaces: bo
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Borel_isomorphism
date created:
date modified: 2023-01-09T00:25:12Z
main entity: {"identifier":"Q4944909","url":"https://www.wikidata.org/entity/Q4944909"}
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integrity: 13

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