Submetacompactness and weak submetacompactness in countable products

DOI10.1016/0166-8641(95)00053-JzbMath0835.54021MaRDI QIDQ1903596

Hidenori Tanaka

Publication date: 11 December 1995

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

zbMATH Keywords

topological game\({\mathcal D} {\mathcal C}\)-like space\(C\)-scattered spacehereditarily weakly submetacompact space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Scattered spaces (54G12)

Cites Work

• Unnamed Item
• A filter property of submetacompactness and its application to products
• Stationary strategies in topological games
• Set theory. An introduction to independence proofs
• Covering properties in countable products
• A class of spaces whose countable product with a perfect paracompact space is paracompact
• Notes on topological games
• Spaces defined by topological games
• Closure-Preserving Families and Metacompactness
• On spaces which admit closure-preserving covers by compact sets
• C-scattered and paracompact spaces

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