Invariants of the bi-Lipschitz contact equivalence of continuous definable function germs
Algebraic Geometry
2019-01-16 v1
Abstract
We construct an invariant of the bi-Lipschitz contact equivalence of continuous function germs definable in a polynomially bounded o-minimal structure, such as semialgebraic functions. For a germ the invariant is given in terms of the leading coefficients of the asymptotic expansions of along the connected components of the tangency variety of
Keywords
Cite
@article{arxiv.1901.04479,
title = {Invariants of the bi-Lipschitz contact equivalence of continuous definable function germs},
author = {Tien-Son Pham and Nguyen Thao Nguyen Bui},
journal= {arXiv preprint arXiv:1901.04479},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1901.01698