Bi-Lipschitz contact invariance of rank

preprint2020arXivOpen access

Abstract

In this note we show that the rank of a smooth map is a bi-Lipschitz contact invariant. As a consequence, the first Boardman symbol and its length are bi-Lipschitz contact invariants. We also give a counterexample showing that Boardman symbol of a smooth map is not a bi-Lipschitz right invariant.

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