Lindelöf spaces which are indestructible, productive, or \(D\)

DOI10.1016/J.TOPOL.2011.09.039zbMath1234.54032arXiv1104.2793OpenAlexW2963106012MaRDI QIDQ649837

Franklin D. Tall, Leandro Fiorini Aurichi

Publication date: 6 December 2011

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

Full work available at URL: https://arxiv.org/abs/1104.2793

zbMATH Keywords

Menger spaceAlster spaceHurewicz space\(d\)-spaceindestructibly Lindelöf spaceproductively Lindelöf space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Counterexamples in general topology (54G20) Fairly general properties of topological spaces (54D99)

Related Items (15)

Selective covering properties of product spaces ⋮ Products of Menger spaces: A combinatorial approach ⋮ Weak covering properties and selection principles ⋮ Productively Lindelöf and indestructibly Lindelöf spaces ⋮ Some thoughts on countable Lindelöf products ⋮ Games relating to weak covering properties in bitopological spaces ⋮ On totally Lindelöf spaces ⋮ Productive Lindelöfness and a class of spaces considered by Z. Frolík ⋮ Co-analytic spaces, \(K\)-analytic spaces, and definable versions of Menger's conjecture ⋮ Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\) ⋮ Indestructibly productively Lindelöf and Menger function spaces ⋮ Productively Lindelöf spaces and the covering property of Hurewicz ⋮ Products of general Menger spaces ⋮ A coanalytic Menger group that is not $\sigma$-compact ⋮ Investigations onweak versions of the Alster property in bitopological spaces and selection principles

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