Sánchez Gabites, Jaime JorgeRodríguez Sanjurjo, José Manuel2023-06-202023-06-202007-060017-095Xhttps://hdl.handle.net/20.500.14352/50706A 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 .engjournal articlehttp://web.math.pmf.unizg.hr/glasnik/vol_42/vol42no1.htmlrestricted access515.1Dynamical systemsattractorsboundary of attractorsshapeTopología1210 Topología