Diamond Principles, Ideals and the Normal Moore Space Problem

Taylor, Alan D.

Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 282-296

Résumé

If is a topological space then a sequence (Cα:α < λ) of subsets of is said to be normalized if for every H ⊆ λ there exist disjoint open sets and such that The sequence (Cα:α < λ) is said to be separated if there exists a sequence of pairwise disjoint open sets such that for each α < λ. As is customary, we adopt the convention that all sequences (Cα:α < λ) considered are assumed to be relatively discrete as defined in [18, p. 21]: if x ∈ Cα then there exists a neighborhood about x that intersects no Cβ for β ≠ α.

Détail

DOI : 10.4153/CJM-1981-023-4

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