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

Author

Listed:
  • Lev Birbrair
  • João Carlos Ferreira Costa
  • Edvalter Da Silva Sena Filho
  • Rodrigo Mendes

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.

Suggested Citation

  • Lev Birbrair & João Carlos Ferreira Costa & Edvalter Da Silva Sena Filho & Rodrigo Mendes, 2018. "Finiteness theorem for multi‐K‐bi‐Lipschitz equivalence of map germs," Mathematische Nachrichten, Wiley Blackwell, vol. 291(16), pages 2381-2387, November.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:16:p:2381-2387
    DOI: 10.1002/mana.201700243
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