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oai:docta.ucm.es:20.500.14352/507062023-08-27T02:40:49Zcom_20.500.14352_14col_20.500.14352_15

Shape properties of the boundary of attractors Sánchez Gabites, Jaime Jorge Rodríguez Sanjurjo, José Manuel 515.1 Dynamical systems attractors boundary of attractors shape Topología 1210 Topología 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 . DGI Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T10:35:46Z 2023-06-20T10:35:46Z 2007-06 journal article https://hdl.handle.net/20.500.14352/50706 0017-095X eng restricted access application/pdf Croatian Mathematical Society; Department of Mathematics, University of Zagreb