From countable compactness to absolute countable compactness

DOI10.1090/S0002-9939-97-04030-6zbMath0984.54027MaRDI QIDQ4333031

I. S. Stares, Mary Ellen Rudin, Jerry E. Vaughan

Publication date: 19 February 1997

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

zbMATH Keywords

orthocompactradialmonotonically normalalmost 2-fully normalproperty (a)countable spreadabsolutely countably compactfinitely fully normal

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results in general topology (54A35)

Related Items (7)

Embeddings into (a)-spaces and acc spaces ⋮ Separation of diagonal in monotonically normal spaces and their products ⋮ Covering properties which, under weak diamond principles, constrain the extents of separable spaces ⋮ A normal countably compact not absolutely countably compact space ⋮ Permutable pairs of quasi-uniformities ⋮ Versions of properties (\(a\)) and (\(pp\)) ⋮ Spaces embeddable as regular closed subsets into \(acc\) spaces and (\(a\))-spaces

Cites Work

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• Absolutely countably compact spaces
• Few remarks and questions on pseudoradial and related spaces
• Some Generalizations of Full Normality
• A Study of Monotonically Normal Spaces
• Monotonically Normal Spaces
• Monotone normality

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