S-spaces can exist under MA

DOI10.1016/0166-8641(83)90021-4zbMath0533.54004OpenAlexW1965763795MaRDI QIDQ789762

Zoltán Szentmiklóssy

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90021-4

zbMATH Keywords

forcingMartin's axiomS-spaceHFDaxiom of constructibilityConZFC

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)

Related Items (6)

Modifications of uniform bases and classification of topological spaces ⋮ Certain \(L\)-spaces under CH ⋮ Indestructible properties of \(S\)- and \(L\)-spaces ⋮ Unnamed Item ⋮ Weakly uniform bases and the first countability axiom ⋮ HFD and HFC type spaces, with applications

Cites Work

• Unnamed Item
• Lectures in set theory with particular emphasis on the method of forcing
• The countable chain condition versus separability - applications of Martin's Axiom
• On hereditarily α-Lindelöf and α-separable spaces, II

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