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Bi-Lipschitz A-equivalence of K-equivalent map-germs

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dc.contributor.authorCosta, J. C. F. [UNESP]
dc.contributor.authorNishimura, T.
dc.contributor.authorRuas, M. A. S.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionYokohama Natl Univ
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2014-12-03T13:11:09Z
dc.date.available2014-12-03T13:11:09Z
dc.date.issued2014-01-01
dc.description.abstractIn this paper, two sufficient conditions are provided for given two K-equivalent map-germs to be bi-Lipschitz A-equivalent. These are Lipschitz analogues of the known results on C-r A-equivalence (0 <= r <= infinity) for given two K-equivalent map-germs. As a corollary of one of our results, a Lipschitz version of the well-known Fukuda-Fukuda theorem is provided.en
dc.description.affiliationIBILCE UNESP, Dept Matemat, Sao Paulo, Brazil
dc.description.affiliationYokohama Natl Univ, Res Inst Environm & Informat Sci, Res Grp Math Sci, Yokohama, Kanagawa 2408501, Japan
dc.description.affiliationUniv Sao Paulo, Inst Ciencias Matemat Comp, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
dc.description.affiliationUnespIBILCE UNESP, Dept Matemat, Sao Paulo, Brazil
dc.description.sponsorshipJSPS
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipCNN
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent173-182
dc.identifierhttp://dx.doi.org/10.1007/s13398-012-0105-3
dc.identifier.citationRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas. Milan: Springer-verlag Italia Srl, v. 108, n. 1, p. 173-182, 2014.
dc.identifier.doi10.1007/s13398-012-0105-3
dc.identifier.issn1578-7303
dc.identifier.urihttp://hdl.handle.net/11449/112910
dc.identifier.wosWOS:000333224900007
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas
dc.relation.ispartofjcr1.074
dc.relation.ispartofsjr0,493
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectBi-Lipschitz A-equivalenceen
dc.subjectLipschitz trivialen
dc.subjectLipschitz version of Fukuda-Fukuda theoremen
dc.titleBi-Lipschitz A-equivalence of K-equivalent map-germsen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas