Non-\((\omega{},\omega{}_ 1)\)-regular ultrafilters and perfect \(k\)- normality of product spaces

DOI10.1016/0166-8641(92)90002-HzbMath0755.54003MaRDI QIDQ1198628

Masami Sakai

Publication date: 16 January 1993

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

zbMATH Keywords

uniform ultrafilter\((\omega,\omega_ 1)\)-regular ultrafilterperfectly \(\kappa\)-normal product

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35) Topology of special sets defined by functions (54C50)

Related Items (1)

Topological groups and \(C\)-embeddings

Cites Work

• The normality of \(\Sigma\)-products and the perfect \(\kappa\)-normality of Cartesian products
• Separating ultrafilters on uncountable cardinals
• Extensions of zero-sets in the product of topological spaces
• Ideals with prescribed degree of goodness
• ON $ \kappa$-METRIZABLE SPACE
• Spaces in Which Special Sets are z-Embedded
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• On a problem of Gillman and Keisler
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