Gδ‐pieces of canonical partitions of G‐spaces

Mathematical Logic Quarterly 51 (5):450-461 (2005)
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Abstract

Generalizing model companions from model theory we define companions of pieces of canonical partitions of Polish G-spaces. This unifies several constructions from logic. The central problem of the paper is the existence of companions which form a G-orbit which is a Gδ-set. We describe companions of some typical G-spaces

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10.1002/malq.200410041

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Polish group actions, nice topologies, and admissible sets.Barbara Majcher-Iwanow - 2008 - Mathematical Logic Quarterly 54 (6):597-616.

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Topics in invariant descriptive set theory.Howard Becker - 2001 - Annals of Pure and Applied Logic 111 (3):145-184.

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