The strength of Menger's conjecture

DOI10.1016/J.TOPOL.2020.107536OpenAlexW3112796534WikidataQ113862548 ScholiaQ113862548MaRDI QIDQ820693

Seçil Tokgöz, Franklin D. Tall, Stevo Todorčević

Publication date: 27 September 2021

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

Full work available at URL: https://arxiv.org/abs/2006.16000

zbMATH Keywords

HurewiczMengerco-analyticprojective set of reals\( \sigma \)-compact\(L(\mathbb{R})\)Hurewicz dichotomy

Mathematics Subject Classification ID

Descriptive set theory (03E15) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Consistency and independence results in general topology (54A35) Determinacy principles (03E60)

Cites Work

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• Menger's and Hurewicz's Problems: Solutions from "The Book" and refinements
• Homogeneity for Open Partitions of Pairs of Reals
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• A coanalytic Menger group that is not $\sigma$-compact
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