On quasi-developable spaces

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Abstract

In this paper quasi-developable spaces are defined and several results are given showing the relationship between quasi-developable spaces and developable spaces. A quasi- developable space is developable if and only if it has closed sets Gδ. A metacompact space is a completely regular Moore space if and only if it is a quasi-developable p-space. The notion of completeness is also defined for a quasi-developable space. A regular metacompact space is a complete Moore space if and only if it is a complete quasi-developable space.

Original languageEnglish
Pages (from-to)253-262
Number of pages10
JournalGeneral Topology and its Applications
Volume1
Issue number3
DOIs
StatePublished - Nov 1971

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