Tame Nonsmooth Inverse Mapping Theorems

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.

• Type: Journal
• Year: 2010
• Where: SIAMJO
• Authors: Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paunescu
• Keywords: Global Inverse Mapping, Principal Minors, SIAMJO 2010, Tame Non