2026-06-08T09:33:32Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/577132023-08-26T07:39:14Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Rodríguez Sanjurjo, José Manuel
2023-06-20T17:03:55Z
2023-06-20T17:03:55Z
1989-01
0002-9939
10.2307/2046760
https://hdl.handle.net/20.500.14352/57713
http://www.ams.org/journals/proc/1989-105-01/S0002-9939-1989-0931746-X/S0002-9939-1989-0931746-X.pdf
http://www.ams.org/
In this interesting paper, the author gives a stability condition for the fixed point property in terms of K. Borsuk's fundamental metric on a hyperspace of a compact metric space. This condition is equivalent to that originally given by V. L. Klee [Colloq. Math. 8 (1961), 43–46] but it reflects richer properties. By replacing exact conditions with their proximate analogues, the author introduces a notion of proximately universal maps and studies many of their properties. In particular, he investigates their preservation under composition with weakly refinable and refinable maps to get improvements of results of E. E. Grace [Proc. Amer. Math. Soc. 98 (1986), no. 2, 329–335] and C. W. Ho [Fund. Math. 111 (1981), no. 2, 169–177].
eng
Stability of the fixed-point property and universal maps
journal article
URL
https://docta.ucm.es/bitstreams/3449b02c-417a-490a-b109-bcf957c88800/download
File
MD5
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application/pdf
RodSanjurjo34.pdf
URL
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text/plain
RodSanjurjo34.pdf.txt