Zero-dimensional \(\sigma \)-homogeneous spaces

DOI10.1016/j.apal.2023.103331arXiv2107.07747MaRDI QIDQ6073909

Zoltán Vidnyánszky, Andrea Medini

Publication date: 12 October 2023

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07747

zbMATH Keywords

zero-dimensionaldeterminacyhomogeneousrigidconstructibleWadge theory

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Determinacy principles (03E60)

Cites Work

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• Decompositions of Rigid Spaces
• Homogeneous Borel Sets
• Les propriétés de réduction et de norme pour les classes de Boréliens
• Analytic sets and Borel isomorphisms
• Some additive properties of sets of real numbers
• Determinateness and the separation property
• Separation principles and the axiom of determinateness
• Infinite powers and Cohen reals
• Every zero-dimensional homogeneous space is strongly homogeneous under determinacy
• CONSTRUCTING WADGE CLASSES
• Transfinite inductions producing coanalytic sets
• On Borel semifilters

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