Topics in invariant descriptive set theory

Annals of Pure and Applied Logic 111 (3):145-184 (2001)
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Abstract

We generalize two concepts from special cases of Polish group actions to the general case. The two concepts are elementary embeddability, from model theory, and analytic sets, from the usual descriptive set theory.

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Citations of this work

Gδ‐pieces of canonical partitions of G‐spaces.Barbara Majcher-Iwanow - 2005 - Mathematical Logic Quarterly 51 (5):450-461.
2004 Summer Meeting of the Association for Symbolic Logic.Wolfram Pohlers - 2005 - Bulletin of Symbolic Logic 11 (2):249-312.
Polish G-spaces and continuous logic.A. Ivanov & B. Majcher-Iwanow - 2017 - Annals of Pure and Applied Logic 168 (4):749-775.
Categories of Topological Spaces and Scattered Theories.R. W. Knight - 2007 - Notre Dame Journal of Formal Logic 48 (1):53-77.
Polish group actions, nice topologies, and admissible sets.Barbara Majcher-Iwanow - 2008 - Mathematical Logic Quarterly 54 (6):597-616.

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References found in this work

Countable models of set theories.Harvey Friedman - 1973 - In A. R. D. Mathias & Hartley Rogers, Cambridge Summer School in Mathematical Logic. New York,: Springer Verlag. pp. 539--573.
Forcing with tagged trees.John R. Steel - 1978 - Annals of Mathematical Logic 15 (1):55.
Analytic determinacy and 0#. [REVIEW]Leo Harrington - 1978 - Journal of Symbolic Logic 43 (4):685 - 693.

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