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On the components of the unstable set of isolated invariant sets

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dc.contributor.authorHernández Corbato, Luis
dc.contributor.authorNieves-Rivera, David Jesús
dc.contributor.authorRuiz del Portal, Francisco R.
dc.contributor.authorSánchez-Gabites, Jaime J.
dc.date.accessioned2023-06-22T11:26:48Z
dc.date.available2023-06-22T11:26:48Z
dc.date.issued2023
dc.description.abstractThe 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.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/78814
dc.identifier.doi10.1016/j.topol.2023.108581
dc.identifier.issn0166-8641
dc.identifier.officialurlhttps://doi.org/10.1016/j.topol.2023.108581
dc.identifier.relatedurlhttps://www.sciencedirect.com/science/article/pii/S016686412300175X
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72421
dc.journal.titleTopology and its Applications
dc.language.isoeng
dc.publisherElsevier Science
dc.relation.projectIDPGC2018-098321-B-I00; RYC2018- 025843-I
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.jel515.1
dc.subject.keywordUnstable set
dc.subject.keywordIsolated invariant sets
dc.subject.keywordQuasicomponents
dc.subject.keywordAlexander-Spanier cohomology
dc.subject.keywordČech homology
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleOn the components of the unstable set of isolated invariant sets
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication87098c4b-1e25-4b37-b466-43febdc67ddf
relation.isAuthorOfPublication.latestForDiscovery87098c4b-1e25-4b37-b466-43febdc67ddf

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