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

Detalhes bibliográficos
Autor(a) principal: Martínez-Alfaro, José
Data de Publicação: 2018
Outros Autores: Meza-Sarmiento, Ingrid S. [UNESP], Oliveira, Regilene D. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.12775/TMNA.2017.051
http://hdl.handle.net/11449/176029
Resumo: We 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.
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spelling Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfacesBott functionsFoliationsMorseNon-orientable surfacesTopological invariantsWe 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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Federación Española de Enfermedades RarasMinisterio de Economía y CompetitividadDepartment de Matemàtiques Universitat de ValènciaDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265Departamento de Matemática ICMC-Universidade de São Paulo, Avenida Trabalhador São-carlense 400Departamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265FAPESP: 2014/00304-2Federación Española de Enfermedades Raras: MTM2015-64013-PMinisterio de Economía y Competitividad: MTM2015-64013-PUniversitat de ValènciaUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Martínez-Alfaro, JoséMeza-Sarmiento, Ingrid S. [UNESP]Oliveira, Regilene D. S.2018-12-11T17:18:37Z2018-12-11T17:18:37Z2018-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article183-213http://dx.doi.org/10.12775/TMNA.2017.051Topological Methods in Nonlinear Analysis, v. 51, n. 1, p. 183-213, 2018.1230-3429http://hdl.handle.net/11449/17602910.12775/TMNA.2017.0512-s2.0-85044164718Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTopological Methods in Nonlinear Analysis0,710info:eu-repo/semantics/openAccess2021-10-23T15:33:33Zoai:repositorio.unesp.br:11449/176029Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T15:33:33Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
title Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
spellingShingle Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
Martínez-Alfaro, José
Bott functions
Foliations
Morse
Non-orientable surfaces
Topological invariants
title_short Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
title_full Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
title_fullStr Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
title_full_unstemmed Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
title_sort Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
author Martínez-Alfaro, José
author_facet Martínez-Alfaro, José
Meza-Sarmiento, Ingrid S. [UNESP]
Oliveira, Regilene D. S.
author_role author
author2 Meza-Sarmiento, Ingrid S. [UNESP]
Oliveira, Regilene D. S.
author2_role author
author
dc.contributor.none.fl_str_mv Universitat de València
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Martínez-Alfaro, José
Meza-Sarmiento, Ingrid S. [UNESP]
Oliveira, Regilene D. S.
dc.subject.por.fl_str_mv Bott functions
Foliations
Morse
Non-orientable surfaces
Topological invariants
topic Bott functions
Foliations
Morse
Non-orientable surfaces
Topological invariants
description We 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.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:18:37Z
2018-12-11T17:18:37Z
2018-03-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.12775/TMNA.2017.051
Topological Methods in Nonlinear Analysis, v. 51, n. 1, p. 183-213, 2018.
1230-3429
http://hdl.handle.net/11449/176029
10.12775/TMNA.2017.051
2-s2.0-85044164718
url http://dx.doi.org/10.12775/TMNA.2017.051
http://hdl.handle.net/11449/176029
identifier_str_mv Topological Methods in Nonlinear Analysis, v. 51, n. 1, p. 183-213, 2018.
1230-3429
10.12775/TMNA.2017.051
2-s2.0-85044164718
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Topological Methods in Nonlinear Analysis
0,710
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 183-213
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803046927529410560

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