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December 2006 Diagonal actions and Borel equivalence relations
Longyun Ding, Su Gao
J. Symbolic Logic 71(4): 1081-1096 (December 2006). DOI: 10.2178/jsl/1164060445

Abstract

We investigate diagonal actions of Polish groups and the related intersection operator on closed subgroups of the acting group. The Borelness of the diagonal orbit equivalence relation is characterized and is shown to be connected with the Borelness of the intersection operator. We also consider relatively tame Polish groups and give a characterization of them in the class of countable products of countable abelian groups. Finally an example of a logic action is considered and its complexity in the Borel reducbility hierarchy determined.

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Longyun Ding. Su Gao. "Diagonal actions and Borel equivalence relations." J. Symbolic Logic 71 (4) 1081 - 1096, December 2006. https://doi.org/10.2178/jsl/1164060445

Information

Published: December 2006
First available in Project Euclid: 20 November 2006

zbMATH: 1109.03050
MathSciNet: MR2275849
Digital Object Identifier: 10.2178/jsl/1164060445

Subjects:
Primary: Primary 04A15, 54H05, 22F05

Rights: Copyright © 2006 Association for Symbolic Logic

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Vol.71 • No. 4 • December 2006
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