Collectionwise normality in screenable spaces

Rudin, Mary Ellen

doi:10.1090/S0002-9939-1983-0681846-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Collectionwise normality in screenable spaces
HTML articles powered by AMS MathViewer

by Mary Ellen Rudin PDF

Proc. Amer. Math. Soc. 87 (1983), 347-350 Request permission

Abstract:

We show that if there is any normal screenable space which is not paracompact, there is one which is not collectionwise normal.

References

R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3
Keiô Nagami, Paracompactness and strong screenability, Nagoya Math. J. 8 (1955), 83–88. MR 70148
Mary Ellen Rudin, A normal screenable nonparacompact space, Topology Appl. 15 (1983), no. 3, 313–322. MR 694550, DOI 10.1016/0166-8641(83)90061-5
C. H. Dowker, On countably paracompact spaces, Canad. J. Math. 3 (1951), 219–224. MR 43446, DOI 10.4153/cjm-1951-026-2