When does the Haver property imply selective screenability?

DOI10.1016/j.topol.2007.02.004zbMath1128.54014OpenAlexW2172023067MaRDI QIDQ881466

Liljana Babinkostova

Publication date: 30 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.02.004

zbMATH Keywords

selection principlemetrizable spaceHurewicz propertyMenger propertycountable dimensional spaceHaver propertyselective screenability

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Dimension theory in algebraic topology (55M10) Local compactness, (sigma)-compactness (54D45) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (7)

Selective screenability in topological groups ⋮ Weakly infinite dimensional subsets of \(\mathbb R^{\mathbb N}\) ⋮ On metric spaces with the Haver property which are Menger spaces ⋮ Topological groups and covering dimension ⋮ Projective versions of selection principles ⋮ A metric space with the Haver property whose square fails this property ⋮ Countable dimensionality, a game and the Haver property

Cites Work

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• Weak infinite-dimensionality in Cartesian products with the Menger property
• A Weakly Infinite-Dimensional Space Whose Product with the Irrationals is Strongly Infinite-Dimensional
• A Weakly Infinite-Dimensional Compactum which is not Countable-Dimensional
• A class of infinite-dimensional spaces. Part I: Dimension theory and Alexandrof's problem
• Spaces whose nth Power is Weakly Infinite-Dimensional but whose (n + 1) th Power is Not
• Products of Infinite-Dimensional Spaces
• Selection principles and countable dimension
• Finite powers of strong measure zero sets
• Metrization of Topological Spaces

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