RT Journal Article
T1 Stability of the fixed-point property and universal maps
A1 Rodríguez Sanjurjo, José Manuel
AB 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].
PB American Mathematical Society
SN 0002-9939
YR 1989
FD 1989-01
LK https://hdl.handle.net/20.500.14352/57713
UL https://hdl.handle.net/20.500.14352/57713
LA eng
DS Docta Complutense
RD 18 abr 2025