Tame nonsmooth inverse mapping theorems

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dc.creatorFukui, Toshizumi
dc.creatorKurdyka, Krzysztof
dc.creatorPaunescu, Laurentiu
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:31Z
dc.date.available2026-07-07T08:49:31Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0712.2476
dc.identifierhttp://arxiv.org/abs/0712.2476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144321
dc.subjectGeometric Topology
dc.subject52Axx, 32F27, 03C64 (Primary), 14P10, 58A35 (Secondary)
dc.titleTame nonsmooth inverse mapping theorems
dc.typetext

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