Some generalizations of full normality
HTML articles powered by AMS MathViewer
- by M. J. Mansfield PDF
- Trans. Amer. Math. Soc. 86 (1957), 489-505 Request permission
References
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3
- Herman J. Cohen, Sur un problème de M. Dieudonné, C. R. Acad. Sci. Paris 234 (1952), 290–292 (French). MR 46631
- Alice Dickinson, Compactness conditions and uniform structures, Amer. J. Math. 75 (1953), 224–228. MR 55662, DOI 10.2307/2372450
- Jean Dieudonné, Une généralisation des espaces compacts, J. Math. Pures Appl. (9) 23 (1944), 65–76 (French). MR 13297
- Jean Dieudonné, Un exemple d’espace normal non susceptible d’une structure uniforme d’espace complet, C. R. Acad. Sci. Paris 209 (1939), 145–147 (French). MR 175
- C. H. Dowker, On countably paracompact spaces, Canad. J. Math. 3 (1951), 219–224. MR 43446, DOI 10.4153/cjm-1951-026-2
- Leonard Gillman and Melvin Henriksen, Concerning rings of continuous functions, Trans. Amer. Math. Soc. 77 (1954), 340–362. MR 63646, DOI 10.1090/S0002-9947-1954-0063646-5 A. J. Goldman, A Čech fundamental group, Summary of lectures and seminars of the Summer Institute on Set Theoretic Topology, Madison, Wisconsin, American Mathematical Society Summer Institute, 1955, pp. 107-109.
- Felix Hausdorff, Grundzüge der Mengenlehre, Chelsea Publishing Co., New York, N. Y., 1949 (German). MR 0031025
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- M. J. Mansfield, On countably paracompact normal spaces, Canadian J. Math. 9 (1957), 443–449. MR 87921, DOI 10.4153/CJM-1957-052-5
- Ernest Michael, Point-finite and locally finite coverings, Canadian J. Math. 7 (1955), 275–279. MR 70147, DOI 10.4153/CJM-1955-029-6
- Jun-iti Nagata, On topological completeness, J. Math. Soc. Japan 2 (1950), 44–47. MR 39986, DOI 10.2969/jmsj/00210044
- R. H. Sorgenfrey, On the topological product of paracompact spaces, Bull. Amer. Math. Soc. 53 (1947), 631–632. MR 20770, DOI 10.1090/S0002-9904-1947-08858-3
- A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977–982. MR 26802, DOI 10.1090/S0002-9904-1948-09118-2
- John W. Tukey, Convergence and Uniformity in Topology, Annals of Mathematics Studies, No. 2, Princeton University Press, Princeton, N. J., 1940. MR 0002515
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 86 (1957), 489-505
- MSC: Primary 54.00
- DOI: https://doi.org/10.1090/S0002-9947-1957-0093753-5
- MathSciNet review: 0093753