Journal of Symbolic Logic 71 (4):1081 - 1096 (2006)
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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References found in this work BETA
Borel Equivalence Relations and Classifications of Countable Models.Greg Hjorth & Alexander S. Kechris - 1996 - Annals of Pure and Applied Logic 82 (3):221-272.
Borel Equivalence Relations Induced by Actions of the Symmetric Group.Greg Hjorth, Alexander S. Kechris & Alain Louveau - 1998 - Annals of Pure and Applied Logic 92 (1):63-112.
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