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math.AG2025
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…
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.AG2017
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…