The multiplicity mod 2 is not a bi-lipschitz invariant
Algebraic Geometry
2023-08-29 v2
Abstract
We show that subanalytic bi-Lipschitz homeomorphisms in general does not preserve the multiplicities of real analytic sets.
Cite
@article{arxiv.2302.05387,
title = {The multiplicity mod 2 is not a bi-lipschitz invariant},
author = {A. Fernandes and Z. Jelonek and J. E. Sampaio},
journal= {arXiv preprint arXiv:2302.05387},
year = {2023}
}
Comments
We have omitted one possibility in Lemma 3.2. Now the Conjecture is still open