\(L\)-spaces and the \(P\)-ideal dichotomy

DOI10.1007/s10474-009-8218-7zbMath1224.54014OpenAlexW2044641268MaRDI QIDQ624199

Lyubomyr Zdomskyy, Heike Mildenberger

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8218-7

zbMATH Keywords

\(L\)-spaces\(P\)-ideal dichotomypoint-finitenessspecial Aronszajn tree

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Consistency and independence results in general topology (54A35) Partition relations (03E02) Separability of topological spaces (54D65)

Related Items (3)

A forcing axiom for a non-special Aronszajn tree ⋮ Locally compact, \( \omega_1\)-compact spaces ⋮ A new Lindelöf topological group

Cites Work

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• QN-spaces, wQN-spaces and covering properties
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Some properties of C(X). I
• Gently killing \(S\)-spaces
• Normality in Subsets of Product Spaces
• Directed Sets and Cofinal Types

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