Borel equivalence relation
id:
borel-equivalence-relation-193-14636213
title:
Borel equivalence relation
text:
In mathematics, a Borel equivalence relation on a Polish space X is an equivalence relation on X that is a Borel subset of X × X. Given Borel equivalence relations E and F on Polish spaces X and Y respectively, one says that E is Borel reducible to F, in symbols E ≤B F, if and only if there is a Borel function such that for all x,x' ∈ X, one has Conceptually, if E is Borel reducible to F, then E is "not more complicated" than F, and the quotient space X/E has a lesser or equal "Borel cardinality
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Borel_equivalence_relation
date created:
date modified:
2023-12-02T07:52:33Z
main entity:
{"identifier":"Q4944905","url":"https://www.wikidata.org/entity/Q4944905"}
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13
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