Title: Closed discrete subsets in first countable, countably metacompact spaces
Abstract: We discuss the question of whether it is consistent that closed discrete subsets of a first countable, countably metacompact space must be Gδ sets. Assuminga = c, every psi-like space constructed using a m.a.d. family (of countable subsets of ω1) is not countably metacompact. Assuming a situation when closed discrete sets are Gδ sets we show that any first countable, countably metacompact space, of countable scattered height, is developable.
Publication Year: 1992
Publication Date: 1992-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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