Topological <Emphasis Type="Italic">K</Emphasis>-equivalence of analytic function-germs |
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| Authors: | Sérgio Alvarez Lev Birbrair João Carlos Ferreira Costa Alexandre Fernandes |
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| Institution: | 1.Departamento de Matematica,Universidade Estadual Santa Cruz,Ilheus,Brazil;2.Departamento de Matematica,Universidade Federal do Ceara,Fortaleza,Brazil;3.Departamento de Matematica,Universidade Estadual Paulista,Sao Jose do Rio Preto,Brazil |
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| Abstract: | We study the topological K-equivalence of function-germs (ℝ
n
, 0) → (ℝ, 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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