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Topological K-equivalence of analytic function-germs

Sérgio AlvarezLev BirbrairJoão CostaAlexandre Fernandes — 2010

Open Mathematics

We study the topological K-equivalence of function-germs (ℝn, 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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