A generalization of a theorem on continuous selections
HTML articles powered by AMS MathViewer
- by E. Michael PDF
- Proc. Amer. Math. Soc. 105 (1989), 236-243 Request permission
Abstract:
The authorโs selection theorem for functions with finite-dimensional domain is sharpened in two directions.References
- C. H. Dowker, On countably paracompact spaces, Canad. J. Math. 3 (1951), 219โ224. MR 43446, DOI 10.4153/cjm-1951-026-2
- Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361โ382. MR 77107, DOI 10.2307/1969615
- Ernest Michael, Continuous selections. II, Ann. of Math. (2) 64 (1956), 562โ580. MR 80909, DOI 10.2307/1969603
- E. Michael, A selection theorem, Proc. Amer. Math. Soc. 17 (1966), 1404โ1406. MR 203702, DOI 10.1090/S0002-9939-1966-0203702-5
- E. Michael, Continuous selections avoiding a set, Topology Appl. 28 (1988), no.ย 3, 195โ213. MR 931523, DOI 10.1016/0166-8641(88)90042-9
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 236-243
- MSC: Primary 54C65; Secondary 54C99
- DOI: https://doi.org/10.1090/S0002-9939-1989-0939967-7
- MathSciNet review: 939967