Coincidence theorems for finite topological spaces

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dc.contributor.authorChocano Feito, Pedro José
dc.contributor.authorAlonso Morón, Manuel
dc.contributor.authorRomero Ruiz Del Portal, Francisco
dc.date.accessioned2023-06-21T02:18:03Z
dc.date.available2023-06-21T02:18:03Z
dc.description.abstractWe adapt the definition of the Vietoris map to the framework of finite topological spaces and we prove some coincidence theorems. From them, we deduce a Lefschetz fixed point theorem for multivalued maps that improves recent results in the literature. Finally, it is given an application to the approximation of discrete dynamical systems in polyhedra.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.statusunpub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/73488
dc.identifier.urihttps://hdl.handle.net/20.500.14352/65271
dc.language.isospa
dc.relation.projectIDPGC2018-098321-B-I00 and BES-2016-076669
dc.rights.accessRightsopen access
dc.subject.cdu515.14
dc.subject.keywordFinite T0 spaces
dc.subject.keywordAlexandroff spaces
dc.subject.keywordPosets
dc.subject.keywordMultivalued maps
dc.subject.keywordFixed points
dc.subject.keywordDynamical systems
dc.subject.keywordApproximation of polyhedra
dc.subject.keywordTopología algebraica
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmTopología
dc.subject.unesco12 Matemáticas
dc.subject.unesco1210 Topología
dc.titleCoincidence theorems for finite topological spacesen
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicatione4503677-6189-4b18-be22-23d31611f2a4
relation.isAuthorOfPublication95bd8189-3086-4e0f-94f6-06dee8c8f675
relation.isAuthorOfPublication5c796e83-3a3a-466d-821f-de3280112781
relation.isAuthorOfPublication.latestForDiscoverye4503677-6189-4b18-be22-23d31611f2a4
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