Polish group actions, nice topologies, and admissible sets

Mathematical Logic Quarterly 54 (6):597-616 (2008)
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Abstract

Let G be a closed subgroup of S∞ and X be a Polish G -space. To every x ∈ X we associate an admissible set Ax and show how questions about X which involve Baire category can be formalized in Ax

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10.1002/malq.200710055

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References found in this work

Topics in invariant descriptive set theory.Howard Becker - 2001 - Annals of Pure and Applied Logic 111 (3):145-184.
Scott sentences and admissible sets.Mark Nadel - 1974 - Annals of Mathematical Logic 7 (2):267.
Gδ‐pieces of canonical partitions of G‐spaces.Barbara Majcher-Iwanow - 2005 - Mathematical Logic Quarterly 51 (5):450-461.

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