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On the existence of cocycle-invariant Borel probability measures

Part of: Set theory Classical measure theory

Published online by Cambridge University Press:  12 April 2019

BENJAMIN D. MILLER Open the ORCID record for BENJAMIN D. MILLER [Opens in a new window]
BENJAMIN D. MILLER*
Affiliation:
Kurt Gödel Research Center for Mathematical Logic, Universität Wien, Währinger Straße 25, 1090Wien, Austria email benjamin.miller@univie.ac.at
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Abstract

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We show that a natural generalization of compressibility is the sole obstruction to the existence of a cocycle-invariant Borel probability measure.

Keywords

Cocyclecompressioninvariant measure

MSC classification

Primary: 03E15: Descriptive set theory 28A05: Classes of sets (Borel fields, $sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 40 , Issue 11 , November 2020 , pp. 3150 - 3168
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Copyright
© Cambridge University Press, 2019

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