Strong zero-dimensionality of products of ordinals.

DOI10.1016/S0166-8641(02)00368-1zbMath1035.54019MaRDI QIDQ1403810

Nobuyuki Kemoto, William G. Fleissner, Jun Terasawa

Publication date: 4 September 2003

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

zbMATH Keywords

dimensioncartesian productordinal spacestrong zero-dimensionality

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Dimension theory in general topology (54F45)

Related Items (8)

Mild normality of finite products of subspaces of \(\omega_1\) ⋮ Topological properties of products of ordinals ⋮ Normal subspaces of products of finitely many ordinals ⋮ Rectangular products with ordinal factors ⋮ \(C^\ast\)-embedding and \(P\)-embedding in subspaces of products of ordinals ⋮ \(C^\ast\)-embedding implies \(P\)-embedding in products of ordinals ⋮ On modal logics arising from scattered locally compact Hausdorff spaces ⋮ Countable paracompactness of \(\sigma\)-products

Cites Work

• Spaces \(N\cup\mathcal R\) and their dimensions
• Set theory. An introduction to independence proofs
• Products of spaces of ordinal numbers
• Hereditary countable metacompactness in finite and infinite product spaces of ordinals
• Large Compact Separable Spaces May all Contain βN
• Partition Algebras for Almost-Disjoint Families
• Normal subspaces of products of finitely many ordinals
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