Topological K-classification of finitely determined map germs
| dc.contributor.author | Costa, João Carlos Ferreira [UNESP] | |
| dc.contributor.author | Nuño-Ballesteros, Juan J. | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universitat de València | |
| dc.date.accessioned | 2014-05-27T11:30:46Z | |
| dc.date.available | 2014-05-27T11:30:46Z | |
| dc.date.issued | 2013-10-01 | |
| dc.description.abstract | We consider smooth finitely C 0-K-determined map germs f: (ℝn, 0) → (ℝp, 0) and we look at the classification under C 0-K-equivalence. The main tool is the homotopy type of the link, which is obtained by intersecting the image of f with a small enough sphere centered at the origin. When f -1(0) = {0}, the link is a smooth map between spheres and f is C 0-K-equivalent to the cone of its link. When f -1(0) ≠ {0}, we consider a link diagram, which contains some extra information, but again f is C 0-K-equivalent to the generalized cone. As a consequence, we deduce some known results due to Nishimura (for n = p) or the first named author (for n < p). We also prove some new results of the same nature. © 2012 Springer Science+Business Media Dordrecht. | en |
| dc.description.affiliation | Departamento de Matemática IBILCE-UNESP, Campus de São José do Rio Preto, São José do Rio Preto, SP | |
| dc.description.affiliation | Departament de Geometria i Topologia Universitat de València, Campus de Burjassot, 46100 Burjassot | |
| dc.description.affiliationUnesp | Departamento de Matemática IBILCE-UNESP, Campus de São José do Rio Preto, São José do Rio Preto, SP | |
| dc.format.extent | 147-162 | |
| dc.identifier | http://dx.doi.org/10.1007/s10711-012-9789-y | |
| dc.identifier.citation | Geometriae Dedicata, v. 166, n. 1, p. 147-162, 2013. | |
| dc.identifier.doi | 10.1007/s10711-012-9789-y | |
| dc.identifier.issn | 0046-5755 | |
| dc.identifier.issn | 1572-9168 | |
| dc.identifier.scopus | 2-s2.0-84883767246 | |
| dc.identifier.uri | http://hdl.handle.net/11449/76688 | |
| dc.identifier.wos | WOS:000327087600008 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Geometriae Dedicata | |
| dc.relation.ispartofjcr | 0.612 | |
| dc.relation.ispartofsjr | 1,255 | |
| dc.relation.ispartofsjr | 1,255 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.subject | Classification | |
| dc.subject | Diagram linkz | |
| dc.subject | Link | |
| dc.subject | Topological K-equivalence | |
| dc.title | Topological K-classification of finitely determined map germs | en |
| dc.type | Artigo | |
| dcterms.license | http://www.springer.com/open+access/authors+rights | |
| unesp.author.orcid | 0000-0001-6725-541X[2] | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Preto | pt |