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Paracompactness and Strong Screenability

Published online by Cambridge University Press:  22 January 2016

Keiô Nagami
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Throughout this paper, a space means a T1-space. A space is called fully normal if every open covering of it has a Δ-refinement , that is, an open covering for which the stars (x, ) form a covering which refines . A space is called paracompact if every open covering of it has a locally finite (= neighborhood finite) open covering which refines . It is well known that paracompactness is identical with full normality in a Hausdorff space ([3], [7]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 8 , February 1955 , pp. 83 - 88
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1955

References

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