On the scope of the Effros theorem

DOI10.4064/fm100-12-2021zbMath1501.54023arXiv2107.11586OpenAlexW3185055015MaRDI QIDQ5090184

Andrea Medini

Publication date: 15 July 2022

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.11586

zbMATH Keywords

topological groupBaire propertyanalytictransitive actionaxiom of determinacyco-analyticaxiom of constructibilitymicro transitive action

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Inner models, including constructibility, ordinal definability, and core models (03E45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Other set-theoretic hypotheses and axioms (03E65) General theory of group and pseudogroup actions (22F05)

Cites Work

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• An alternative proof and applications of a theorem of E. G. Effros
• Effros, Baire, Steinhaus and non-separability
• Homogeneous spaces and transitive actions by Polish groups
• Infinite combinatorics and definability
• Classical recursion theory. The theory of functions and sets of natural numbers
• Topology and descriptive set theory
• Between Polish and completely Baire
• Transformation groups and \(C^ *\)-algebras
• A Note on the Effros Theorem
• The complexity of maximal cofinitary groups
• Automatic Continuity of Group Homomorphisms
• Around Effros' Theorem
• Some additive properties of sets of real numbers
• Set Theory
• A CO-ANALYTIC COHEN-INDESTRUCTIBLE MAXIMAL COFINITARY GROUP
• CONSTRUCTING WADGE CLASSES
• Transfinite inductions producing coanalytic sets
• Locally Compact Transformation Groups
• On Borel semifilters

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