Completion and semicompletion of Moore spaces

Abstract

Two properties are given which characterize those metacompact Moore spaces that are completable and two which characterize those which are semicompletable. The relationship among these properties in nonmetacompact spaces is investigated. Two new characterizations of Moore-closed spaces are given as is a characterization of developability. Some unification of technique is achieved among the various ways of completing or semicompleting a Moore space.