Finitness theorem for Multi-K-Bi-Lipschtiz equivalence of map-germs

2017/06/25 by Lev Birbrair, Joao Costa, Birbrair, Lev +5 · 1 citation
Mathematics · #14P10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14P10

paper · pdf · doi:10.48550/arxiv.1706.08156

10 pages

arxiv created 2017/06/25 · arxiv updated 2017/06/27

Abstract

Let P^k(n,p) be the set of all real polynomial map germs f = ( f₁ , ..., f_p ) : (ℝⁿ,0) → (ℝ^p,0) with degree of f₁ , ...,f_p less than or equal to k ∈ ℕ. The main result of this paper shows that the set of equivalence classes of P^k(n,p), with respect to multi-K-bi-Lipschitz equivalence, is finite.

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• On the Invariance of the Real Milnor Number under Asymptotically Lipschitz Equivalence

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