K. Kurdyka

activity

19992018

most citedCurve-rational functions

28 citations · 56 across the 16 of their papers we have counts for

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2 papers · 1 filter

math.GT2017

Tangent cones and $C^{1}$ regularity of definable sets

Krzysztof Kurdyka, Olivier Le Gal, Nhan Nguyen

Let $X \subset R^{n}$ be a connected locally closed definable set in an o-minimal structure. We prove that the following three statements are equivalent: (i) $X$ is a $C^{1}$ ma…

math.GT2007

Tame nonsmooth inverse mapping theorems

Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paunescu

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 gene…

Tangent cones and C1 regularity of definable sets

Tame nonsmooth inverse mapping theorems

Tangent cones and $C^{1}$ regularity of definable sets