Projective \(\sigma\)-compactness, \(\omega_1\)-caliber, and \(C_p\)-spaces

DOI10.1016/S0166-8641(99)00011-5zbMath0944.54012OpenAlexW2027372250MaRDI QIDQ1568396

Alexander V. Arhangel'skii

Publication date: 13 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00011-5

zbMATH Keywords

densityweightLindelöf space\(K\)-analytic spaceanalytic spaceHurewicz space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (14)

Bounded resolutions for spaces \(C_p(X)\) and a characterization in terms of \(X\) ⋮ Covering properties of Cp(X) and Ck(X) ⋮ On weakening tightness to weak tightness ⋮ Projective versions of the properties in the Scheepers diagram ⋮ Generic left-separated spaces and calibers ⋮ Productive Lindelöfness and a class of spaces considered by Z. Frolík ⋮ Co-analytic spaces, \(K\)-analytic spaces, and definable versions of Menger's conjecture ⋮ Indestructibly productively Lindelöf and Menger function spaces ⋮ On the definability of Menger spaces which are not \(\sigma\)-compact ⋮ The projective Menger property and an embedding of \(S_{\omega}\) into function spaces ⋮ On productively Lindelöf spaces ⋮ Projective versions of selection principles ⋮ Some covering properties in topological and uniform spaces ⋮ Calibers, free sequences and density

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