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Publicação:
Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces

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dc.contributor.authorMartínez-Alfaro, José
dc.contributor.authorMeza-Sarmiento, Ingrid S. [UNESP]
dc.contributor.authorOliveira, Regilene D. S.
dc.contributor.institutionUniversitat de València
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2018-12-11T17:18:37Z
dc.date.available2018-12-11T17:18:37Z
dc.date.issued2018-03-01
dc.description.abstractWe investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott foliations on non-orientable closed surfaces in order to define a complete topological invariant.en
dc.description.affiliationDepartment de Matemàtiques Universitat de València
dc.description.affiliationDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265
dc.description.affiliationDepartamento de Matemática ICMC-Universidade de São Paulo, Avenida Trabalhador São-carlense 400
dc.description.affiliationUnespDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipFederación Española de Enfermedades Raras
dc.description.sponsorshipMinisterio de Economía y Competitividad
dc.description.sponsorshipIdFAPESP: 2014/00304-2
dc.description.sponsorshipIdFederación Española de Enfermedades Raras: MTM2015-64013-P
dc.description.sponsorshipIdMinisterio de Economía y Competitividad: MTM2015-64013-P
dc.format.extent183-213
dc.identifierhttp://dx.doi.org/10.12775/TMNA.2017.051
dc.identifier.citationTopological Methods in Nonlinear Analysis, v. 51, n. 1, p. 183-213, 2018.
dc.identifier.doi10.12775/TMNA.2017.051
dc.identifier.issn1230-3429
dc.identifier.scopus2-s2.0-85044164718
dc.identifier.urihttp://hdl.handle.net/11449/176029
dc.language.isoeng
dc.relation.ispartofTopological Methods in Nonlinear Analysis
dc.relation.ispartofsjr0,710
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectBott functions
dc.subjectFoliations
dc.subjectMorse
dc.subjectNon-orientable surfaces
dc.subjectTopological invariants
dc.titleSingular levels and topological invariants of Morse–Bott foliations on non-orientable surfacesen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas