Games, covering properties and Eberlein compacts

DOI10.1016/0166-8641(85)90046-XzbMath0604.54022MaRDI QIDQ1083060

Gary Gruenhage

Publication date: 1986

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

zbMATH Keywords

topological gameEberlein compactalocally compact spacewinning strategymetacompact space\(\sigma \)-metacompact space

Mathematics Subject Classification ID

Compactness (54D30) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Positional games (pursuit and evasion, etc.) (91A24) Local compactness, (sigma)-compactness (54D45)

Related Items (10)

Tactic-proximal compact spaces are strong Eberlein compact ⋮ On normal covers of locally compact spaces ⋮ Gary Gruenhage ⋮ Algebraic objects generated by topological structure ⋮ Selective games on binary relations ⋮ The story of a topological game ⋮ Completeness properties of the generalized compact-open topology on partial functions with closed domains ⋮ Some cardinal function relationships between \(C_ P(X)\) and finite powers of a space \(X\) ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

• Covering properties on \(X^ 2\setminus \Delta \), \(W\)-sets, and compact subsets of \(\Sigma\)-products
• Stationary strategies in topological games
• Metacompactness, Paracompactness, and Interior-Preserving Open Covers

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