English

Bi-Lipschitz contact invariance of rank

Algebraic Geometry 2020-01-22 v2

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.

Keywords

Cite

@article{arxiv.2001.04739,
  title  = {Bi-Lipschitz contact invariance of rank},
  author = {Nhan Nguyen},
  journal= {arXiv preprint arXiv:2001.04739},
  year   = {2020}
}