On the pointwise implementation of near-actions

Asger Dag Törnquist

doi:10.1090/S0002-9947-2011-05296-7

On the pointwise implementation of near-actions

Department of Mathematical Sciences

Abstract

We show that the continuum hypothesis implies that every measure preserving near-action of a group on a standard Borel probability space (X, μ) has a pointwise implementation by Borel measure preserving automorphisms.

Translated title of the contribution	Om punktvis implementation af nær-virkninger
Original language	English
Journal	Transactions of the American Mathematical Society
Volume	363
Issue number	9
Pages (from-to)	4929-4944
Number of pages	16
ISSN	0002-9947
DOIs	https://doi.org/10.1090/S0002-9947-2011-05296-7
Publication status	Published - 4 Mar 2011

Keywords

Faculty of Science

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10.1090/S0002-9947-2011-05296-7

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title = "On the pointwise implementation of near-actions",

abstract = "We show that the continuum hypothesis implies that every measure preserving near-action of a group on a standard Borel probability space (X, μ) has a pointwise implementation by Borel measure preserving automorphisms.",

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AB - We show that the continuum hypothesis implies that every measure preserving near-action of a group on a standard Borel probability space (X, μ) has a pointwise implementation by Borel measure preserving automorphisms.

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KW - spatial actions

KW - descriptive set theory

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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On the pointwise implementation of near-actions

Abstract

Keywords

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