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Hereditary countable metacompactness in finite and infinite product spaces of ordinals

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Publication:1356971
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DOI10.1016/S0166-8641(96)00106-XzbMath0869.54017MaRDI QIDQ1356971

Nobuyuki Kemoto, Kerry D. Smith

Publication date: 19 August 1997

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


zbMATH Keywords

metacompactnessproduct spaces of ordinals


Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Ordinal and cardinal numbers (03E10)


Related Items (7)

Normal subspaces of products of finitely many ordinals ⋮ \(C^\ast\)-embedding and \(P\)-embedding in subspaces of products of ordinals ⋮ Hereditarily covering properties of inverse sequence limits ⋮ Strong zero-dimensionality of products of ordinals. ⋮ Metacompact subspaces of products of ordinals ⋮ PRODUCTS OF BASE-κ-PARACOMPACT SPACES AND COMPACT SPACES ⋮ On increasing separated sequences




Cites Work

  • Unnamed Item
  • The product of two ordinals is hereditarily countably metacompact
  • Set theory. An introduction to independence proofs
  • Some Results on Weak Covering Conditions




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