Characterizations of paracompact-like properties by means of set-valued semi-continuous selections

Miyazaki, Kazumi

doi:10.1090/S0002-9939-01-06204-9

Characterizations of paracompact-like properties by means of set-valued semi-continuous selections
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Proc. Amer. Math. Soc. 129 (2001), 2777-2782 Request permission

Abstract:

We give a characterization of countably paracompact and collectionwise normal spaces by means of set-valued semi-continuous selections. This provides a positive answer to a problem of V. Gutev.

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