Finiteness theorem for multi‐K‐bi‐Lipschitz equivalence of map germs

Lev Birbrair, João Carlos Ferreira Costa, Edvalter Da Silva Sena Filho and Rodrigo Mendes

Mathematische Nachrichten, 2018, vol. 291, issue 16, 2381-2387

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

Date: 2018
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