Bi-Lipschitz A-equivalence of K-equivalent map germs
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 Cr-A-equivalence (0 ≤ r ≤ ∞) 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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