RT Journal Article
T1 On the components of the unstable set of isolated invariant sets
A1 Hernández Corbato, Luis
A1 Nieves-Rivera, David Jesús
A1 Ruiz del Portal, Francisco R.
A1 Sánchez-Gabites, Jaime J.
AB 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.
PB Elsevier Science
SN 0166-8641
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/72421
UL https://hdl.handle.net/20.500.14352/72421
LA eng
NO Ministerio de Ciencia, Innovación y Universidades
DS Docta Complutense
RD 28 abr 2025