RT Journal Article
T1 Shape properties of the boundary of attractors
A1 Sánchez Gabites, Jaime Jorge
A1 Rodríguez Sanjurjo, José Manuel
AB A compact stable attractor K  of a continuous flow on a locally compact metric space is shape equivalent to a compact positively invariant neighbourhood P  in its basin of attraction, the shape equivalence being induced by the inclusion map. In the present article a simple counterexample is given to show that ∂K  is in general not shape equivalent to ∂P , and an inquiry is set afoot as to the circumstances under which ∂K  is shape equivalent to or shape dominates ∂P .
PB Croatian Mathematical Society; Department of Mathematics, University of Zagreb
SN 0017-095X
YR 2007
FD 2007-06
LK https://hdl.handle.net/20.500.14352/50706
UL https://hdl.handle.net/20.500.14352/50706
LA eng
NO DGI
DS Docta Complutense
RD 17 abr 2025