Tame nonsmooth inverse mapping theorems

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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.
19 pages

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Geometric Topology, 52Axx, 32F27, 03C64 (Primary), 14P10, 58A35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/144321

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.2476
 http://arxiv.org/abs/0712.2476

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arXiv