Equivalências de contato topológica e bi-Lipschitz de germes de aplicações diferenciáveis

Costa, João Carlos Ferreira

doi:10.11606/t.55.2005.tde-01122014-113516

Cited by 2 publications

(3 citation statements)

References 45 publications

(23 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using Lipschitz stratifications Costa [5] has proved that such a deformation was bi-Lipschitz K-trivial, but, as his proof involves integration of vector fields, it does not provide a semialgebraic trivialization.…”

Section: Semialgebraic Bi-lipschitz K-triviality Holds Genericallymentioning

confidence: 99%

See 1 more Smart Citation

C 0 and bi-Lipschitz $${\mathcal{K}}$$ -equivalence of mappings

Ruas

Valette²

2010

Math. Z.

View full text Add to dashboard Cite

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.

show abstract

Section: Semialgebraic Bi-lipschitz K-triviality Holds Genericallymentioning

confidence: 99%

“…In [10], Nishimura investigated the classification of smooth mappings up to C 0 -K-equivalence. See also [1,5] for other recent results. It seems that C 0 -K-equivalence has not been investigated in the very detail, so far.…”

Section: Introductionmentioning

confidence: 96%

C 0 and bi-Lipschitz $${\mathcal{K}}$$ -equivalence of mappings

Ruas

Valette²

2010

Math. Z.

View full text Add to dashboard Cite

show abstract

“…The significance of this result comes from the fact that the class of germs finitely-K -determined is large, in the sense that finite determinacy is a generic property. For more details see [T1,T2,Wa,Co].…”

Section: Milnor-hamm Fibrationmentioning

confidence: 99%

Singular Milnor Fibrations

Ribeiro¹

View full text Add to dashboard Cite

In this work we present the most recent developments in the direction of local fibrations structures of analytic singularities. Using techniques and tools from stratification theory we prove structural theorems in the stratified sense, which will be called singular Milnor tube fibration and Milnor-Hamm sphere fibration. In addition, we present algorithms with the purpose of creating a large number of examples in this new setting and compare our results obtained with the current ones found in the literature. Our results generalize all previous result in both cases: in the classical and in the stratified ones.

show abstract

Equivalências de contato topológica e bi-Lipschitz de germes de aplicações diferenciáveis

Cited by 2 publications

References 45 publications

C 0 and bi-Lipschitz $${\mathcal{K}}$$ -equivalence of mappings

C 0 and bi-Lipschitz $${\mathcal{K}}$$ -equivalence of mappings

Singular Milnor Fibrations

Contact Info

Product

Resources

About