Homogeneously Suslin set

id: homogeneously-suslin-set-292-11530753
title: Homogeneously Suslin set
text: In descriptive set theory, a set S is said to be homogeneously Suslin if it is the projection of a homogeneous tree. S is said to be κ -homogeneously Suslin if it is the projection of a κ -homogeneous tree. If A ⊆ ω ω is a Π 1 1 set and κ is a measurable cardinal, then A is κ -homogeneously Suslin. This result is important in the proof that the existence of a measurable cardinal implies that Π 1 1 sets are determined.
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original url: https://en.wikipedia.org/wiki/Homogeneously_Suslin_set
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date modified: 2024-03-04T06:20:14Z
main entity: {"identifier":"Q16965550","url":"https://www.wikidata.org/entity/Q16965550"}
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