7 citations · 7 across the 8 of their papers we have counts for
10 papers
On Strong Bi-Lipschitz Triviality of Deformations
Debomita Chakraborty, Saurabh Trivedi
The Thom-Levine theorem is a classical method for proving the triviality of deformations by integrating suitable vector fields. In this note, we show that the converse of this crit…
Classification of Lipschitz unimodal function germs
Nhan Nguyen, Maria Ruas, Saurabh Trivedi
In this paper, we introduce the notion of Lipschitz modality for isolated singularities and provide a complete classification of Lipschi…
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…
Transversality of smooth definable maps in O-minimal structures
Nhan Nguyen, Saurabh Trivedi
We present a definable smooth version of the Thom transversality theorem. We show further that the set of non-transverse definable smooth maps is nowhere dense in the definable smo…
Bi-Lipschitz geometry of contact orbits in the boundary of the nice dimensions
Maria Aparecida Soares Ruas, Saurabh Trivedi
Mather proved that the smooth stability of smooth maps between manifolds is a generic condition if and only if the pair of dimensions of the manifolds are 'nice dimensions' while t…
Cohomology of flat currents on definable pseudomanifolds
Saurabh Trivedi
We show that the cohomology of flat currents on definable pseudomanifolds in polynomially bounded o-minimal structures is isomorphic to its intersection cohomology in the top perve…