A proposition on the cardinality of closed discrete subsets of a topological space

DOI10.3792/pjaa.59.130zbMath0525.54001OpenAlexW2094021331MaRDI QIDQ585552

Nobuyuki Kemoto

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.130

zbMATH Keywords

GCHcountable, closed, discrete subsetNiemytzki's bubble spaceseparable normal space having an uncountable closed, discrete subsetsquare of the Sorgenfrey line

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35)

Related Items (1)

Discrete sets in fuzzy topological spaces

Cites Work

• Cardinality of discrete subsets of a topological space
• Metrization of Topological Spaces
• Unnamed Item

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