Finite-index extensions of essentially free countable Borel equivalence relations

We show that finite-index extensions of essentially free countable Borel equivalence relations are essentially free, answering a question of Kechris.

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Publication Details

Journal
Mathematics Research Reports
Published
2026-11-06
DOI
https://doi.org/10.5802/mrr.30
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Finite-index extensions of essentially free countable Borel equivalence relations

Jason Zesheng Chen
Mathematics Research Reports
Advanced Topology and Set Theory
article

Finite-index extensions of essentially free countable Borel equivalence relations

Jason Zesheng Chen
article en

Abstract

We show that finite-index extensions of essentially free countable Borel equivalence relations are essentially free, answering a question of Kechris.

Mathematics Research ReportsVol. 7
Openalex Percentile: Top 42%
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
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Finite-index extensions of essentially free countable Borel equivalence relations — Jason Zesheng Chen · Mathematics Research Reports (2026) | TGRS Research Map | TGRS