Consonant spaces of countable type and the Menger property

DOI10.1016/J.TOPOL.2023.108755OpenAlexW4387940854MaRDI QIDQ6140880

Francis Jordan

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108755

zbMATH Keywords

Mengerconsonantcountable type

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Applications of set theory (03E75)

Cites Work

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• Some properties of compactifications
• A note on consonance of \(G_\delta\) subsets
• On products of consonant spaces
• Conceptual proofs of the Menger and Rothberger games
• Consonant spaces and topological games
• When do the Upper Kuratowski Topology (Homeomorphically, Scott Topology) and the Co-compact Topology Coincide?
• When is a space Menger at infinity?

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