Sánchez Gabites, Jaime JorgeRodríguez Sanjurjo, José Manuel2023-06-202023-06-2020070002-993910.1090/S0002-9939-07-08972-1https://hdl.handle.net/20.500.14352/50153Suppose phi : M x R -> M is a continuous flow on a locally compact metrizable space M and K is an ( asymptotically stable) attractor. Let D =partial derivative A( K) be the boundary of the basin of attraction of K. In the present paper it will be shown how the Conley index of D plays an important role in determining the topological nature of D and allows one to obtain information about the global dynamics of phi in M.engjournal articlehttp://www.ams.org/journals/proc/2007-135-12/S0002-9939-07-08972-1/S0002-9939-07-08972-1.pdfhttp://www.ams.org/restricted access514515.1GeometríaTopología1204 Geometría1210 Topología