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Stability of the fixed-point property and universal maps



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Rodríguez Sanjurjo, José Manuel (1989) Stability of the fixed-point property and universal maps. Proceedings of the American Mathematical Society, 105 (1). pp. 221-230. ISSN 0002-9939

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URL Oficial: http://www.ams.org/journals/proc/1989-105-01/S0002-9939-1989-0931746-X/S0002-9939-1989-0931746-X.pdf

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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].

Tipo de documento:Artículo
Palabras clave:Fixed-point and coincidence theorems; Weak and generalized continuity; Shape theory
Materias:Ciencias > Matemáticas > Geometría
Ciencias > Matemáticas > Topología
Código ID:17126
Depositado:16 Nov 2012 09:53
Última Modificación:07 Feb 2014 09:42

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