Curtis Pro

collaborators

3 papers

math.DG2020

On Delaunay Triangulations of Gromov Sets

Curtis Pro, Frederick Wilhelm

Let $Y$ be a subset of a metric space $X .$ We say that $Y$ is $η$ -Gromov provided $Y$ is $η$ -separated and not properly contained in any other $η$ -separated subset of $X .$ In this…

math.DG2020

Stability, Finiteness and Dimension Four

Curtis Pro, Frederick Wilhelm

We prove that for any $k \in R,$ $v > 0,$ and $D > 0$ there are only finitely many diffeomorphism types of closed Riemannian $4$ -manifolds with sectional curvature $\geq k,$ vo…

math.DG2016

Crosscap Stability

Curtis Pro, Michael Sill, Frederick Wilhelm

We provide an alternative proof that Crosscaps are diffeomorphically stable.