C(0) and bi-Lipschitz K-equivalence of mappings
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2011
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Resumo |
In this paper we investigate the classification of mappings up to K-equivalence. We give several results of this type. We study semialgebraic deformations up to semialgebraic C(0) K-equivalence and bi-Lipschitz K-equivalence. We give an algebraic criterion for bi-Lipschitz K-triviality in terms of semi-integral closure (Theorem 3.5). We also give a new proof of a result of Nishimura: we show that two germs of smooth mappings f, g : R(n) -> R(n), finitely determined with respect to K-equivalence are C(0)-K-equivalent if and only if they have the same degree in absolute value. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) |
Identificador |
MATHEMATISCHE ZEITSCHRIFT, NEW YORK, v.269, n.1/Fev, p.293-308, 2011 0025-5874 http://producao.usp.br/handle/BDPI/28815 10.1007/s00209-010-0728-z |
Idioma(s) |
eng |
Publicador |
SPRINGER NEW YORK |
Relação |
Mathematische Zeitschrift |
Direitos |
openAccess Copyright SPRINGER |
Palavras-Chave | #Mathematics |
Tipo |
article original article publishedVersion |