Conceptual proofs of the Menger and Rothberger games

DOI10.1016/J.TOPOL.2019.107048zbMath1433.91038arXiv1904.02736OpenAlexW2996864564WikidataQ113862551 ScholiaQ113862551MaRDI QIDQ2295640

Boaz Tsaban, Piotr Szewczak

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1904.02736

zbMATH Keywords

topological gamesselection principlesMenger propertyRothberger property

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Foundations: limits and generalizations, elementary topology of the line (26A03)

Related Items (5)

Complements of consonant spaces in complete spaces ⋮ Abstract colorings, games and ultrafilters ⋮ Consonant spaces of countable type and the Menger property ⋮ Topological games of bounded selections ⋮ Pointless proofs of the Menger and Rothberger games

Cites Work

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• A minicourse on topological games
• Combinatorics of open covers. I: Ramsey theory
• A bibliography of topological games
• The combinatorics of open covers. II
• Open covers and partition relations
• Every Lusin set is undetermined in the point-open game
• Algebra, selections, and additive Ramsey theory

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