Topological K-equivalence of analytic function-germs

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Data

2010-04-01

Autores

Alvarez, Sergio
Birbrair, Lev
Ferreira Costa, Joao Carlos [UNESP]
Fernandes, Alexandre

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Resumo

We study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect to topological K-equivalence for definable functions-germs. For the case n = 2 we present polynomial models for analytic function-germs.

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Topological K-equivalence, Topological equivalence, Function-germs

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Central European Journal of Mathematics. Warsaw: Versita, v. 8, n. 2, p. 338-345, 2010.