Paracompactness and product spaces

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Paracompactness and Product Spaces

A topological space is called paracompact (see [2 J) if (i) it is a Hausdorff space (satisfying the T2 axiom of [l]), and (ii) every open covering of it can be refined by one which is "locally finite" ( = neighbourhood-finite; that is, every point of the space has a neighbourhood meeting only a finite number of sets of the refining covering). J. Dieudonné has proved [2, Theorem 4] that every se...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1948

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1948-09118-2