4 citations · 12 across the 5 of their papers we have counts for
5 papers
Compactness for manifolds and integral currents with bounded diameter and volume
Stefan Wenger
By Gromov's compactness theorem for metric spaces, every uniformly compact sequence of metric spaces admits an isometric embedding into a common compact metric space in which a sub…
A short proof of Gromov's filling inequality
Stefan Wenger
We give a very short and rather elementary proof of Gromov's filling volume inequality for n-dimensional Lipschitz cycles (with integer and Z_2-coefficients) in -spaces.…
The asymptotic rank of metric spaces
Stefan Wenger
In this article we define and study a notion of asymptotic rank for metric spaces and show in our main theorem that for a large class of spaces, the asymptotic rank is characterize…
Flat convergence for integral currents in metric spaces
Stefan Wenger
It is well known that in compact local Lipschitz neighborhood retracts in Euclidean space flat convergence for integer rectifiable currents amounts just to weak convergence. In the…
Isoperimetric inequalities of euclidean type in metric spaces
Stefan Wenger
In this paper we prove an isoperimetric inequality of euclidean type for complete metric spaces admitting a cone-type inequality. These include all Banach spaces and all complete,…