Topological K-classification of finitely determined map germs

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorCosta, João Carlos Ferreira
dc.creatorNuño-Ballesteros, Juan J.
dc.date2014-05-27T11:30:46Z
dc.date2016-10-25T18:54:34Z
dc.date2014-05-27T11:30:46Z
dc.date2016-10-25T18:54:34Z
dc.date2013-10-01
dc.date.accessioned2017-04-06T02:40:17Z
dc.date.available2017-04-06T02:40:17Z
dc.identifierGeometriae Dedicata, v. 166, n. 1, p. 147-162, 2013.
dc.identifier0046-5755
dc.identifier1572-9168
dc.identifierhttp://hdl.handle.net/11449/76688
dc.identifierhttp://acervodigital.unesp.br/handle/11449/76688
dc.identifier10.1007/s10711-012-9789-y
dc.identifierWOS:000327087600008
dc.identifier2-s2.0-84883767246
dc.identifierhttp://dx.doi.org/10.1007/s10711-012-9789-y
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/897379
dc.descriptionWe 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.
dc.languageeng
dc.relationGeometriae Dedicata
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectClassification
dc.subjectDiagram linkz
dc.subjectLink
dc.subjectTopological K-equivalence
dc.titleTopological K-classification of finitely determined map germs
dc.typeOtro


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