Nhan Nguyen

activity

20152020

collaborators

4 papers

math.AG2020

Bi-Lipschitz contact invariance of rank

Nhan Nguyen

In this note we show that the rank of a smooth map is a bi-Lipschitz contact invariant. As a consequence, the first Boardman symbol and its length are bi-Lipschitz contact invarian…

math.AG2018

Classification of Lipschitz simple function germs

Nhan Nguyen, Maria Ruas, Saurabh Trivedi

It is known that the bi-Lipschitz right classification of function germs admit moduli. In this article we introduce a notion called the Lipschitz simple function germs and present…

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.AG2015

Whitney stratifications and the continuity of local Lipschitz Killing curvatures

Nhan Nguyen, Guillaume Valette

We prove that local Lipschitz Killing curvatures of definable sets in a polynomially bounded o-minimal structure are continuous along strata of Whitney stratifications and locally…

Bi-Lipschitz contact invariance of rank

Classification of Lipschitz simple function germs

Tangent cones and C1 regularity of definable sets

Whitney stratifications and the continuity of local Lipschitz Killing curvatures

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