The product of two ordinals is hereditarily countably metacompact

DOI10.1016/S0166-8641(96)00047-8zbMath0883.54009MaRDI QIDQ675107

Kerry D. Smith, Nobuyuki Kemoto

Publication date: 5 March 1998

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

zbMATH Keywords

product spaceordinalscountably metacompact

Mathematics Subject Classification ID

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

Related Items (9)

Hereditary countable metacompactness in finite and infinite product spaces of ordinals ⋮ \(C^\ast\)-embedding and \(P\)-embedding in subspaces of products of ordinals ⋮ Normality, orthocompactness and countable paracompactness of products of GO-spaces ⋮ Countable metacompactness of products of LOTS' ⋮ A finite product of ordinals is hereditarily dually discrete ⋮ Metacompact subspaces of products of ordinals ⋮ Dual properties of subspaces in products of ordinals ⋮ Finite unions of weak \(\overline \theta\)-refinable spaces and products of ordinals ⋮ Subnormality in \(\omega_1^2\)

Cites Work

• Set theory. An introduction to independence proofs
• Products of spaces of ordinal numbers

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