Collectionwise normality in screenable spaces
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- by Mary Ellen Rudin
- Proc. Amer. Math. Soc. 87 (1983), 347-350
- DOI: https://doi.org/10.1090/S0002-9939-1983-0681846-1
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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
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 347-350
- MSC: Primary 54D15
- DOI: https://doi.org/10.1090/S0002-9939-1983-0681846-1
- MathSciNet review: 681846