A fixed-point theorem for $UV^n$ usco maps
HTML articles powered by AMS MathViewer
- by Valentin G. Gutev PDF
- Proc. Amer. Math. Soc. 124 (1996), 945-952 Request permission
Abstract:
The familiar fixed-point theorem of Kakutani is strengthened by weakening the hypotheses on the set-valued mapping. Applications are made for $UV^n$ and $UV^\omega$ decompositions of compact metric spaces.References
- John Cobb and William Voxman, Some fixed point results for $UV$ decompositions of compact metric spaces, Proc. Amer. Math. Soc. 33 (1972), 156–160. MR 290340, DOI 10.1090/S0002-9939-1972-0290340-4
- A. N. Dranishnikov, Absolute extensors in dimension $n$ and $n$-soft mappings increasing the dimension, Uspekhi Mat. Nauk 39 (1984), no. 5(239), 55–95 (Russian). MR 764009
- Sergio Sispanov, Generalización del teorema de Laguerre, Bol. Mat. 12 (1939), 113–117 (Spanish). MR 3
- Cahit Arf, Untersuchungen über reinverzweigte Erweiterungen diskret bewerteter perfekter Körper, J. Reine Angew. Math. 181 (1939), 1–44 (German). MR 18, DOI 10.1515/crll.1940.181.1
Additional Information
- Valentin G. Gutev
- Affiliation: Department of Mathematics, University of Sofia, Sofia, Bulgaria
- Address at time of publication: Institute of Mathematics, Bulgarian Academy of Sciences, 1090 Sofia, Bulgaria
- Email: gutev@bgcict.acad.bg, gutev@fmi.uni-sofia.bg
- Received by editor(s): September 10, 1993
- Additional Notes: This research was supported in part by NSF at the Bulgarian Ministry of Science and Education under grant MM-420/94.
- Communicated by: James E. West
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 945-952
- MSC (1991): Primary 54H25, 54C60; Secondary 54B15
- DOI: https://doi.org/10.1090/S0002-9939-96-03491-0
- MathSciNet review: 1343695