Completely Baire spaces, Menger spaces, and projective sets

DOI10.1016/J.TOPOL.2019.02.056zbMath1415.54004arXiv1803.03458OpenAlexW2963351096MaRDI QIDQ1738925

Franklin D. Tall, Lyubomyr Zdomskyy

Publication date: 24 April 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03458

zbMATH Keywords

projectiveBaireanalytic\(\sigma\)-compactMengerPolishco-analyticcompletely Baireopen graph axiom

Mathematics Subject Classification ID

Complete metric spaces (54E50) Descriptive set theory (03E15) Consistency and independence results (03E35) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45) Recursive ordinals and ordinal notations (03F15) Determinacy principles (03E60) Abstract model theory (03C95)

Related Items (2)

The strength of Menger's conjecture ⋮ Two applications of topology to model theory

Cites Work

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• Menger remainders of topological groups
• On the definability of Menger spaces which are not \(\sigma\)-compact
• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Between Polish and completely Baire
• Homogeneity for Open Partitions of Pairs of Reals
• On some properties of Hurewicz, Menger, and Rothberger
• Partition Problems in Topology
• Countable dense homogeneous filters and the Menger covering property

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