Products of spaces of ordinal numbers

DOI10.1016/0166-8641(92)90007-MzbMath0789.54006MaRDI QIDQ1198634

Nobuyuki Kemoto, Ken-ichi Tamano, Haruto Ohta

Publication date: 16 January 1993

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

zbMATH Keywords

normalitystationary setshrinking propertyordinal numbercountable paracompactnesscollectionwise normalityexpandabilitykappa-compactness

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (24)

Rectangular products with ordinal factors ⋮ \(C^\ast\)-embedding and \(P\)-embedding in subspaces of products of ordinals ⋮ Uniform powers of compacta and the proximal game ⋮ \(C^\ast\)-embedding implies \(P\)-embedding in products of ordinals ⋮ Star countable subspaces in products of ordinals ⋮ El primer infinito no numerable y su topología ⋮ Countability and star covering properties ⋮ Strong zero-dimensionality of products of ordinals. ⋮ Products of monotonically normal spaces with various special factors ⋮ Unnamed Item ⋮ A characterization of the countable paracompactness for products of ordinals ⋮ \(C^\ast\) -, \(C\)- and \(P\)-embedded subsets in products and the undecidability of a certain property on \(\mathbb{N}^{\omega_1} \) ⋮ Topology inside \(\omega_1\) ⋮ The product of two ordinals is hereditarily countably metacompact ⋮ Normal covers of various products ⋮ Equalities for the extent of infinite products and \(\varSigma\)-products ⋮ PRODUCTS OF BASE-κ-PARACOMPACT SPACES AND COMPACT SPACES ⋮ Unnamed Item ⋮ Forcing and normality ⋮ \(\pi\)-embeddings and Dugundji extension theorems for generalized ordered spaces ⋮ Unnamed Item ⋮ Sequential completeness of subspaces of products of two cardinals ⋮ Normality and paranormality in product spaces ⋮ Subnormality in \(\omega_1^2\)

Cites Work

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• On the classification of stationary sets
• Set theory. An introduction to independence proofs
• Some Results on Weak Covering Conditions
• О продолжении локально конечных покрытий

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