On the structure of level sets of uniform and Lipschitz quotient mappings from ${\mathbb{R}}^n$ to $\mathbb{R}$

Beata Randrianantoanina

We study two questions posed by Johnson, Lindenstrauss, Preiss, and Schechtman, concerning the structure of level sets of uniform and Lipschitz quotient maps from $R^n\to R$. We sh…