BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
| dc.contributor.author | Costa, João Carlos Ferreira [UNESP] | |
| dc.contributor.author | Saia, Marcelo José | |
| dc.contributor.author | Soares Junior, Carlos Humberto | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidade Federal de São Carlos (UFSCar) | |
| dc.contributor.institution | CCN-UFPI | |
| dc.date.accessioned | 2023-03-02T10:44:28Z | |
| dc.date.available | 2023-03-02T10:44:28Z | |
| dc.date.issued | 2022-01-01 | |
| dc.description.abstract | 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. | en |
| dc.description.affiliation | Universidade Estadual Paulista (UNESP) Instituto de Biociências Letras e Ciências Exatas, Câmpus de São José do Rio Preto -SP | |
| dc.description.affiliation | Departamento de Matemática CCET-UFSCar, Câmpus de São Carlos-SP | |
| dc.description.affiliation | Departamento de Matemática CCN-UFPI, Câmpus Petrônio Portela, PI | |
| dc.description.affiliationUnesp | Universidade Estadual Paulista (UNESP) Instituto de Biociências Letras e Ciências Exatas, Câmpus de São José do Rio Preto -SP | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | FAPESP: 2019/21181-0 | |
| dc.description.sponsorshipId | CNPq: 301495/2017-3 | |
| dc.description.sponsorshipId | CNPq: 403142/2019-9 | |
| dc.format.extent | 123-133 | |
| dc.identifier | http://dx.doi.org/10.5427/jsing.2022.25f | |
| dc.identifier.citation | Journal of Singularities, v. 25, p. 123-133. | |
| dc.identifier.doi | 10.5427/jsing.2022.25f | |
| dc.identifier.issn | 1949-2006 | |
| dc.identifier.scopus | 2-s2.0-85136258523 | |
| dc.identifier.uri | http://hdl.handle.net/11449/242171 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Singularities | |
| dc.source | Scopus | |
| dc.subject | sufficiency of jets | |
| dc.subject | weighted jets | |
| dc.title | BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS | en |
| dc.type | Artigo | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |