Internal characterizations of productively Lindelöf spaces

DOI10.1090/PROC/14031zbMath1394.54012arXiv1704.03843OpenAlexW2605581739MaRDI QIDQ4563674

Lyubomyr Zdomskyy, Leandro Fiorini Aurichi

Publication date: 4 June 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03843

zbMATH Keywords

Menger propertyMichael spaceAlster spaceproductively Lindelöf space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results in general topology (54A35) Cardinal characteristics of the continuum (03E17)

Related Items (4)

Some thoughts on countable Lindelöf products ⋮ On totally Lindelöf spaces ⋮ On the Alster, Menger and D-type covering properties ⋮ A characterization of productive cellularity

Cites Work

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• Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\)
• Combinatorics of open covers. I: Ramsey theory
• On the Menger covering property and $D$-spaces
• On the class of all spaces of weight not greater than ω_1 whose Cartesian product with every Lindelöf space is Lindelöf
• Some of the combinatorics related to Michael’s problem
• The product of a normal space and a metric space need not be normal

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