%0 Journal Article
%A Sánchez Gabites, Jaime Jorge
%A Rodríguez Sanjurjo, José Manuel
%T Shape properties of the boundary of attractors
%D 2007
%@ 0017-095X
%U https://hdl.handle.net/20.500.14352/50706
%X 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 .
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