TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.5427/jsing.2022.25d http://hdl.handle.net/11449/240686 |
Resumo: | In this work we investigate the topological classification of circle-valued simple Morse-Bott functions on connected closed orientable surfaces, up to topological conjugacy. We provide a complete topological invariant, called the MB-Reeb graph. This invariant is based on the generalized Reeb graph and the topological type of singular level sets of these functions. The results presented here extend to those obtained by the authors in a previous work when the surface is the standard sphere. |
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Repositório Institucional da UNESP |
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TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACESMorse–Bott functionsReeb graphtopological equivalenceTopological invariantIn this work we investigate the topological classification of circle-valued simple Morse-Bott functions on connected closed orientable surfaces, up to topological conjugacy. We provide a complete topological invariant, called the MB-Reeb graph. This invariant is based on the generalized Reeb graph and the topological type of singular level sets of these functions. The results presented here extend to those obtained by the authors in a previous work when the surface is the standard sphere.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Centro de Ciências e Tecnologia Universidade Federal do Cariri, CEUniversidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas, Câmpus de São José do Rio PretoDepartamento de Matemática – UFSCar, Rod. Washington Luís, Km 235-C.P. 676, São PauloUniversidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas, Câmpus de São José do Rio PretoCAPES: 001Universidade Federal do CaririUniversidade Estadual Paulista (UNESP)Universidade Federal de São Carlos (UFSCar)Batista, E. B.Costa, J. C.F. [UNESP]Meza-Sarmiento, I. S.2023-03-01T20:28:19Z2023-03-01T20:28:19Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article78-89http://dx.doi.org/10.5427/jsing.2022.25dJournal of Singularities, v. 25, p. 78-89.1949-2006http://hdl.handle.net/11449/24068610.5427/jsing.2022.25d2-s2.0-85136302026Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Singularitiesinfo:eu-repo/semantics/openAccess2023-03-01T20:28:20Zoai:repositorio.unesp.br:11449/240686Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:24:45.839367Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
title |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
spellingShingle |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES Batista, E. B. Morse–Bott functions Reeb graph topological equivalence Topological invariant |
title_short |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
title_full |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
title_fullStr |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
title_full_unstemmed |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
title_sort |
TOPOLOGICAL CLASSIFICATION OF CIRCLE–VALUED SIMPLE MORSE–BOTT FUNCTIONS ON CLOSED ORIENTABLE SURFACES |
author |
Batista, E. B. |
author_facet |
Batista, E. B. Costa, J. C.F. [UNESP] Meza-Sarmiento, I. S. |
author_role |
author |
author2 |
Costa, J. C.F. [UNESP] Meza-Sarmiento, I. S. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Federal do Cariri Universidade Estadual Paulista (UNESP) Universidade Federal de São Carlos (UFSCar) |
dc.contributor.author.fl_str_mv |
Batista, E. B. Costa, J. C.F. [UNESP] Meza-Sarmiento, I. S. |
dc.subject.por.fl_str_mv |
Morse–Bott functions Reeb graph topological equivalence Topological invariant |
topic |
Morse–Bott functions Reeb graph topological equivalence Topological invariant |
description |
In this work we investigate the topological classification of circle-valued simple Morse-Bott functions on connected closed orientable surfaces, up to topological conjugacy. We provide a complete topological invariant, called the MB-Reeb graph. This invariant is based on the generalized Reeb graph and the topological type of singular level sets of these functions. The results presented here extend to those obtained by the authors in a previous work when the surface is the standard sphere. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-01-01 2023-03-01T20:28:19Z 2023-03-01T20:28:19Z |
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/10.5427/jsing.2022.25d Journal of Singularities, v. 25, p. 78-89. 1949-2006 http://hdl.handle.net/11449/240686 10.5427/jsing.2022.25d 2-s2.0-85136302026 |
url |
http://dx.doi.org/10.5427/jsing.2022.25d http://hdl.handle.net/11449/240686 |
identifier_str_mv |
Journal of Singularities, v. 25, p. 78-89. 1949-2006 10.5427/jsing.2022.25d 2-s2.0-85136302026 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Singularities |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
78-89 |
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_ |
1808129518329659392 |