Normality and compactness are equivalent in hyperspaces
HTML articles powered by AMS MathViewer
- by James Keesling PDF
- Bull. Amer. Math. Soc. 76 (1970), 618-619
References
- Irving Glicksberg, Stone-Čech compactifications of products, Trans. Amer. Math. Soc. 90 (1959), 369–382. MR 105667, DOI 10.1090/S0002-9947-1959-0105667-4
- V. M. Ivanova, On the theory of spaces of subsets, Dokl. Akad. Nauk SSSR (N.S.) 101 (1955), 601–603 (Russian). MR 0069479
- James Keesling, Normality and properties related to compactness in hyperspaces, Proc. Amer. Math. Soc. 24 (1970), 760–766. MR 253292, DOI 10.1090/S0002-9939-1970-0253292-7
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
- Ernest Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152–182. MR 42109, DOI 10.1090/S0002-9947-1951-0042109-4
- Hisahiro Tamano, On paracompactness, Pacific J. Math. 10 (1960), 1043–1047. MR 124876, DOI 10.2140/pjm.1960.10.1043
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 618-619
- MSC (1970): Primary 5423, 5425, 5465; Secondary 5453, 5456
- DOI: https://doi.org/10.1090/S0002-9904-1970-12459-4
- MathSciNet review: 0254812