Tame nonsmooth inverse mapping theorems
Geometric Topology
2007-12-18 v1
Abstract
We give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more generally, definable in some o-minimal structure. Our sufficient conditions are formulated in terms of various properties (convexity, positivity of some principal minors, contractiblity) of the space of Jacobi's matrices at smooth points.
Cite
@article{arxiv.0712.2476,
title = {Tame nonsmooth inverse mapping theorems},
author = {Toshizumi Fukui and Krzysztof Kurdyka and Laurentiu Paunescu},
journal= {arXiv preprint arXiv:0712.2476},
year = {2007}
}
Comments
19 pages