4 problems

Sharpness conjecture for Lipschitz nice dimensions. If $(n,p)$ lies in the complement of the nice dimensions or in their boundary, then $\mathrm{S}^{Lip}(N,P)$ is not dense in…

Lipschitz nice-dimensions conjecture. The Lipschitz nice dimensions contain Mather's nice dimensions and their boundary.

Let $f\colon (X,S)\to(\mathbb{C}^{p},0)$ be a map germ of finite $\mathscr{A}_e$-codimension, where $X$ is an ICIS of dimension $n<p$. Let $d(f)$ and $s(f)$ denote the quantities u…

Let $N$ and $P$ be smooth manifolds of dimensions $n$ and $p$, respectively, and consider the space of proper smooth mappings between them with the Whitney strong topology. Suppose…