The Product of a Lindelof Space with the Space of Irrationals Under Martin's Axiom

DOI10.2307/2048102zbMath0723.54026OpenAlexW1981146190WikidataQ114589828 ScholiaQ114589828MaRDI QIDQ3210535

K. Alster

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2048102

zbMATH Keywords

productMartin's axiomcontinuum hypothesisLindelöf spaceirrationals

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Continuum hypothesis and Martin's axiom (03E50)

Related Items (10)

On Lindelöf sets of continuous functions ⋮ Products of Lindelöf spaces and GO-spaces ⋮ Michael spaces and ultrafilters ⋮ A ZFC example (of minimum weight) of a Lindelöf space and a completely metrizable space with a nonnormal product ⋮ Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\) ⋮ Productively Lindelöf spaces and the covering property of Hurewicz ⋮ A coanalytic Menger group that is not $\sigma$-compact ⋮ Some remarks concerning the Lindelöf property of the product of a Lindelöf space with the irrationals ⋮ On productively Lindelöf spaces ⋮ A first countable linearly Lindelöf not Lindelöf topological space

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