Arc criterion of normal embedding
Metric Geometry
2017-10-06 v1
Abstract
We present a criterion of local Normal Embedding of a semialgebraic (or definable in an o-minimal structure) contained in in terms orders of contact of arcs. Namely, we prove that a semialgebraic set is normally embedded at a point x if and only if for any pair of arcs, coming to this point the inner order of contact is equal to the outer order of contact.
Keywords
Cite
@article{arxiv.1710.01811,
title = {Arc criterion of normal embedding},
author = {Lev Birbrair and Rodrigo Mendes},
journal= {arXiv preprint arXiv:1710.01811},
year = {2017}
}
Comments
4 pages