7 citations · 7 across the 6 of their papers we have counts for
4 papers · 1 filter
Local quasi-isometries and tangent cones of definable germs
Nhan Nguyen
In this paper, we introduce the notion of local quasi-isometry for metric germs and prove that two definable germs are quasi-isometric if and only if their tangent cones are bi-Lip…
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…
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…
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…