RT Journal Article
T1 Fixed point index in hyperspaces: A Conley-type index for discrete semidynamical systems.
A1 Romero Ruiz del Portal, Francisco
A1 Salazar, J. M.
AB Let X be a locally compact metric absolute neighbourhood retract for metric spaces, U subset of X be an open subset and f:U -->X be a continuous map. The aim of the paper is to study the fixed point index of the map that f induces in the hyperspace of X. For any compact isolated invariant set, K subset of U, this fixed point index produces, in a very natural way, a Conley-type (integer valued) index for K. This index is computed and it is shown that it only depends on what is called the attracting part of K. The index is used to obtain a characterization of isolating neighbourhoods of compact invariant sets with non-empty attracting part. This index also provides a characterization of compact isolated minimal sets that are attractors
PB Oxford University Press
SN 0024-6107
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57899
UL https://hdl.handle.net/20.500.14352/57899
LA eng
NO DGES.
DS Docta Complutense
RD 7 abr 2025