Tame nonsmooth inverse mapping theorems

Details Tame nonsmooth inverse mapping theorems Tame nonsmooth inverse mapping theorems

2007-12-17

arxiv.org/abs/0712.2476v1

Mathematics

Geometric Topology

19 pages

Scientific paper

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.

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