Spaces splittable over the class of Eberlein and descriptive compact spaces

DOI10.1007/s13398-016-0364-5zbMath1393.54007OpenAlexW2563060462MaRDI QIDQ683602

Manuel Sanchis, Daniel Jardón

Publication date: 8 February 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0364-5

zbMATH Keywords

scattered spacesplittabilityEberlein compactCorson compactGul'ko compactdescriptive compactRosenthal compactcountably compact spaces(maximal) pseudocompact spacesPreiss-Simon property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Scattered spaces (54G12)

Cites Work

• On pointwise approximation of arbitrary functions by countable families of continuous functions
• On the cardinality of certain Hausdorff spaces
• The general concept of cleavability of a topological space
• Weak\(^*\) locally uniformly rotund norms and descriptive compact spaces
• On submaximal spaces
• Splittability over some classes of Corson compact spaces
• A \(C_p\)-theory problem book. Compactness in function spaces
• Maximal pseudocompact spaces and the Preiss-Simon property
• Some remarks on Eberlein compacts
• Descriptive compact spaces and renorming
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