An equivalence relation that is not freely generated

Scot Adams

doi:10.1090/S0002-9939-1988-0928981-2

An equivalence relation that is not freely generated

Scot Adams

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper it is shown that there exists a Borel equivalence relation with countable equivalence classes that is not generated by a free Borel action of a countable discrete group.

Original language	English (US)
Pages (from-to)	565-566
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	102
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1988-0928981-2
State	Published - Mar 1988

Keywords

Amenable equivalence relation
Borel equivalence relation
Measurable equivalence relation

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10.1090/S0002-9939-1988-0928981-2

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title = "An equivalence relation that is not freely generated",

abstract = "In this paper it is shown that there exists a Borel equivalence relation with countable equivalence classes that is not generated by a free Borel action of a countable discrete group.",

keywords = "Amenable equivalence relation, Borel equivalence relation, Measurable equivalence relation",

author = "Scot Adams",

year = "1988",

month = mar,

doi = "10.1090/S0002-9939-1988-0928981-2",

language = "English (US)",

volume = "102",

pages = "565--566",

journal = "Proceedings of the American Mathematical Society",

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T1 - An equivalence relation that is not freely generated

AU - Adams, Scot

PY - 1988/3

Y1 - 1988/3

N2 - In this paper it is shown that there exists a Borel equivalence relation with countable equivalence classes that is not generated by a free Borel action of a countable discrete group.

AB - In this paper it is shown that there exists a Borel equivalence relation with countable equivalence classes that is not generated by a free Borel action of a countable discrete group.

KW - Amenable equivalence relation

KW - Borel equivalence relation

KW - Measurable equivalence relation

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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An equivalence relation that is not freely generated

Abstract

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