Hernández Corbato, LuisNieves-Rivera, David JesúsRuiz del Portal, Francisco R.Sánchez-Gabites, Jaime J.2023-06-222023-06-2220230166-864110.1016/j.topol.2023.108581https://hdl.handle.net/20.500.14352/72421The 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/journal articlehttps://doi.org/10.1016/j.topol.2023.108581https://www.sciencedirect.com/science/article/pii/S016686412300175Xopen access515.1Unstable setIsolated invariant setsQuasicomponentsAlexander-Spanier cohomologyČech homologyTopología1210 Topología