2026-06-28T20:30:43Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/724212023-08-25T12:16:24Zcom_20.500.14352_14col_20.500.14352_15

On the components of the unstable set of isolated invariant sets Hernández Corbato, Luis Nieves-Rivera, David Jesús Ruiz del Portal, Francisco R. Sánchez-Gabites, Jaime J. The aim of this note is to shed some light on the topological structure of the unstable set of an isolated invariant set K. We give a bound on the number of essential quasicomponents of the unstable set of K in terms of the homological Conley index of K. The proof relies on an explicit pairing between Čech homology classes and Alexander–Spanier cohomology classes that takes the form of an integral. 2023-06-22T11:26:48Z 2023-06-22T11:26:48Z 2023-06-22T11:26:48Z 2023 journal article https://hdl.handle.net/20.500.14352/72421 0166-8641 10.1016/j.topol.2023.108581 eng PGC2018-098321-B-I00; RYC2018- 025843-I https://creativecommons.org/licenses/by-nc-nd/3.0/es/ open access Atribución-NoComercial-SinDerivadas 3.0 España Elsevier Science