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- W2078759095 abstract "A topological space X is said to be paracompact [1] if for every open covering G of X there is a locally finite open covering G' of X which is a refinement of G. (G' is locally finite if every point of X has a neighborhood which intersects only a finite number of members of G'.) It is known that every paracompact Hausdorff space is normal [1 ] and that every metrizable space is paracompact [2 ]. Since every normal Hausdorff space with a countable base is metrizable, therefore, every normal Hausdorff space with a countable base is paracompact. The purpose of this paper is to show that the existence of a countable base cannot be replaced by separability in this last statement." @default.
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- W2078759095 date "1956-05-01" @default.
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- W2078759095 title "A separable normal nonparacompact space" @default.
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