Stable Bi-Maps on Surfaces and Their Graphs

Detalhes bibliográficos
Autor(a) principal: Mendes De Jesus, C.
Data de Publicação: 2023
Outros Autores: Boizan Batista, E., Costa, J. C. F. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5540/tcam.2023.024.02.00337
http://hdl.handle.net/11449/244897
Resumo: In this paper we study stable bi-maps F=(f1,f2):M→ℝ×ℝ2 from a global viewpoint, where M is a smooth closed orientable surface and f1:M→ℝ,f2:M→ℝ2 are stable maps. We associate a graph to F, so-called ℛℳ-graph and study its properties. The ℛℳ-graph captures more information about the topological structure of M than other graphs that appear in literature. Moreover, some graph realization theorems are obtained.
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spelling Stable Bi-Maps on Surfaces and Their GraphsStable mapsℛℳ-graphsclosed surfacesIn this paper we study stable bi-maps F=(f1,f2):M→ℝ×ℝ2 from a global viewpoint, where M is a smooth closed orientable surface and f1:M→ℝ,f2:M→ℝ2 are stable maps. We associate a graph to F, so-called ℛℳ-graph and study its properties. The ℛℳ-graph captures more information about the topological structure of M than other graphs that appear in literature. Moreover, some graph realization theorems are obtained.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Universidade Federal de Juiz de Fora, Departamento de MatemáticaUniversidade Federal do Cariri, Centro de Ciências e TecnologiaUniversidade Estadual Paulista, Departamento de MatemáticaUniversidade Estadual Paulista, Departamento de MatemáticaFAPESP: 2018/25157-3 2019/21181-0Sociedade Brasileira de Matemática Aplicada e Computacional - SBMACUniversidade Federal de Juiz de ForaUniversidade Federal do CaririUniversidade Estadual Paulista (UNESP)Mendes De Jesus, C.Boizan Batista, E.Costa, J. C. F. [UNESP]2023-07-29T11:14:59Z2023-07-29T11:14:59Z2023-05-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article337-356application/pdfhttp://dx.doi.org/10.5540/tcam.2023.024.02.00337Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 24, n. 2, p. 337-356, 2023.2676-0029http://hdl.handle.net/11449/24489710.5540/tcam.2023.024.02.00337S2676-00292023000200337S2676-00292023000200337.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTrends in Computational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2023-10-21T06:05:08Zoai:repositorio.unesp.br:11449/244897Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:30:28.330942Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Stable Bi-Maps on Surfaces and Their Graphs
title Stable Bi-Maps on Surfaces and Their Graphs
spellingShingle Stable Bi-Maps on Surfaces and Their Graphs
Mendes De Jesus, C.
Stable maps
ℛℳ-graphs
closed surfaces
title_short Stable Bi-Maps on Surfaces and Their Graphs
title_full Stable Bi-Maps on Surfaces and Their Graphs
title_fullStr Stable Bi-Maps on Surfaces and Their Graphs
title_full_unstemmed Stable Bi-Maps on Surfaces and Their Graphs
title_sort Stable Bi-Maps on Surfaces and Their Graphs
author Mendes De Jesus, C.
author_facet Mendes De Jesus, C.
Boizan Batista, E.
Costa, J. C. F. [UNESP]
author_role author
author2 Boizan Batista, E.
Costa, J. C. F. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal de Juiz de Fora
Universidade Federal do Cariri
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Mendes De Jesus, C.
Boizan Batista, E.
Costa, J. C. F. [UNESP]
dc.subject.por.fl_str_mv Stable maps
ℛℳ-graphs
closed surfaces
topic Stable maps
ℛℳ-graphs
closed surfaces
description In this paper we study stable bi-maps F=(f1,f2):M→ℝ×ℝ2 from a global viewpoint, where M is a smooth closed orientable surface and f1:M→ℝ,f2:M→ℝ2 are stable maps. We associate a graph to F, so-called ℛℳ-graph and study its properties. The ℛℳ-graph captures more information about the topological structure of M than other graphs that appear in literature. Moreover, some graph realization theorems are obtained.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-29T11:14:59Z
2023-07-29T11:14:59Z
2023-05-29
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/10.5540/tcam.2023.024.02.00337
Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 24, n. 2, p. 337-356, 2023.
2676-0029
http://hdl.handle.net/11449/244897
10.5540/tcam.2023.024.02.00337
S2676-00292023000200337
S2676-00292023000200337.pdf
url http://dx.doi.org/10.5540/tcam.2023.024.02.00337
http://hdl.handle.net/11449/244897
identifier_str_mv Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 24, n. 2, p. 337-356, 2023.
2676-0029
10.5540/tcam.2023.024.02.00337
S2676-00292023000200337
S2676-00292023000200337.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Trends in Computational and Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 337-356
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
dc.source.none.fl_str_mv SciELO
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_ 1808128524279611392

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