A note on complete collectionwise normality and paracompactness
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- by Louis F. McAuley
- Proc. Amer. Math. Soc. 9 (1958), 796-799
- DOI: https://doi.org/10.1090/S0002-9939-1958-0099647-X
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References
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3
- C. H. Dowker, An imbedding theorem for paracompact metric spaces, Duke Math. J. 14 (1947), 639–645. MR 22344
- C. H. Dowker, On a theorem of Hanner, Ark. Mat. 2 (1952), 307–313. MR 50874, DOI 10.1007/BF02591500
- F. B. Jones, Concerning normal and completely normal spaces, Bull. Amer. Math. Soc. 43 (1937), no. 10, 671–677. MR 1563615, DOI 10.1090/S0002-9904-1937-06622-5
- Louis F. McAuley, Paracompactness and an example due to F. B. Jones, Proc. Amer. Math. Soc. 7 (1956), 1155–1156. MR 82088, DOI 10.1090/S0002-9939-1956-0082088-7
- Louis F. McAuley, A relation between perfect separability, completeness, and normality in semi-metric spaces, Pacific J. Math. 6 (1956), 315–326. MR 80907
- Ernest Michael, A note on paracompact spaces, Proc. Amer. Math. Soc. 4 (1953), 831–838. MR 56905, DOI 10.1090/S0002-9939-1953-0056905-8
- E. Michael, Another note on paracompact spaces, Proc. Amer. Math. Soc. 8 (1957), 822–828. MR 87079, DOI 10.1090/S0002-9939-1957-0087079-9
- Kiiti Morita, Star-finite coverings and the star-finite property, Math. Japon. 1 (1948), 60–68. MR 26803
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 796-799
- MSC: Primary 54.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0099647-X
- MathSciNet review: 0099647