%0 Journal Article
%A Hernández Corbato, Luis
%A Nieves-Rivera, David Jesús
%A Ruiz del Portal, Francisco R.
%A Sánchez-Gabites, Jaime J.
%T On the components of the unstable set of isolated invariant sets
%D 2023
%@ 0166-8641
%U https://hdl.handle.net/20.500.14352/72421
%X 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.
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