BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS

Detalhes bibliográficos
Autor(a) principal: Costa, João Carlos Ferreira [UNESP]
Data de Publicação: 2022
Outros Autores: Saia, Marcelo José, Soares Junior, Carlos Humberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5427/jsing.2022.25f
http://hdl.handle.net/11449/242171
Resumo: In this work we study bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs of weighted degree. Our main result improves the degree of sufficiency of jets in the classical jet space obtained by Takens and by Martins-Fávaro. Moreover, we give a condition for the bi-Lipschitz sufficiency in both the weighted and non-weighted cases. Bi-Lipschitz sufficiency was not considered in those previously cited works.
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spelling BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETSsufficiency of jetsweighted jetsIn this work we study bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs of weighted degree. Our main result improves the degree of sufficiency of jets in the classical jet space obtained by Takens and by Martins-Fávaro. Moreover, we give a condition for the bi-Lipschitz sufficiency in both the weighted and non-weighted cases. Bi-Lipschitz sufficiency was not considered in those previously cited works.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual Paulista (UNESP) Instituto de Biociências Letras e Ciências Exatas, Câmpus de São José do Rio Preto -SPDepartamento de Matemática CCET-UFSCar, Câmpus de São Carlos-SPDepartamento de Matemática CCN-UFPI, Câmpus Petrônio Portela, PIUniversidade Estadual Paulista (UNESP) Instituto de Biociências Letras e Ciências Exatas, Câmpus de São José do Rio Preto -SPFAPESP: 2019/21181-0CNPq: 301495/2017-3CNPq: 403142/2019-9Universidade Estadual Paulista (UNESP)Universidade Federal de São Carlos (UFSCar)CCN-UFPICosta, João Carlos Ferreira [UNESP]Saia, Marcelo JoséSoares Junior, Carlos Humberto2023-03-02T10:44:28Z2023-03-02T10:44:28Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article123-133http://dx.doi.org/10.5427/jsing.2022.25fJournal of Singularities, v. 25, p. 123-133.1949-2006http://hdl.handle.net/11449/24217110.5427/jsing.2022.25f2-s2.0-85136258523Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Singularitiesinfo:eu-repo/semantics/openAccess2023-03-02T10:44:28Zoai:repositorio.unesp.br:11449/242171Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:13:09.366902Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
title BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
spellingShingle BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
Costa, João Carlos Ferreira [UNESP]
sufficiency of jets
weighted jets
title_short BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
title_full BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
title_fullStr BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
title_full_unstemmed BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
title_sort BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
author Costa, João Carlos Ferreira [UNESP]
author_facet Costa, João Carlos Ferreira [UNESP]
Saia, Marcelo José
Soares Junior, Carlos Humberto
author_role author
author2 Saia, Marcelo José
Soares Junior, Carlos Humberto
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Federal de São Carlos (UFSCar)
CCN-UFPI
dc.contributor.author.fl_str_mv Costa, João Carlos Ferreira [UNESP]
Saia, Marcelo José
Soares Junior, Carlos Humberto
dc.subject.por.fl_str_mv sufficiency of jets
weighted jets
topic sufficiency of jets
weighted jets
description In this work we study bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs of weighted degree. Our main result improves the degree of sufficiency of jets in the classical jet space obtained by Takens and by Martins-Fávaro. Moreover, we give a condition for the bi-Lipschitz sufficiency in both the weighted and non-weighted cases. Bi-Lipschitz sufficiency was not considered in those previously cited works.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-03-02T10:44:28Z
2023-03-02T10:44:28Z
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.2022.25f
Journal of Singularities, v. 25, p. 123-133.
1949-2006
http://hdl.handle.net/11449/242171
10.5427/jsing.2022.25f
2-s2.0-85136258523
url http://dx.doi.org/10.5427/jsing.2022.25f
http://hdl.handle.net/11449/242171
identifier_str_mv Journal of Singularities, v. 25, p. 123-133.
1949-2006
10.5427/jsing.2022.25f
2-s2.0-85136258523
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 123-133
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_ 1808128482106933248

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