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arXiv · 1302.4778

Bi-Lipschitz A-equivalence of K-equivalent map germs

Joao Carlos Ferreira Costa·Takashi Nishimura·Maria Aparecida Soares Ruas
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Abstract

In this paper, two sufficient conditions are provided for given two K-equivalent map-germs to be bi-Lipschitz A-equivalent. These are Lipschitz analogues of the known results on C^r-A-equivalence $(0 \leq r \leq \infty)$ for given two K-equivalent map-germs. As a corollary of one of our results, a Lipschitz version of the well-known Fukuda-Fukuda theorem is provided.

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Joao Carlos Ferreira Costa, Takashi Nishimura, Maria Aparecida Soares Ruas. 2013-02-20. Bi-Lipschitz A-equivalence of K-equivalent map germs. https://doi.org/10.1007/s13398-012-0105-3%2010.1007%2Fs13398-012-0105-3%2010.1007%2Fs13398-012-0105-3%2010.1007%2Fs13398-012-0105-3%2010.1007%2Fs13398-012-0105-3

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