Showing math.MGShow all
3 papers · 1 filter
math.MG2023★ 1 cited
Existence and uniqueness of optimal transport maps in locally compact spaces
Arian Bërdëllima
We show that in a locally compact complete space satisfying positive angles property and a disintegration regularity for its canonical Hausdorff measure, there exists a un…
math.MG2022
Weak topologies for unbounded nets in CAT() spaces
Philip Miller, Arian Berdellima, Max Wardetzky
Weak topologies that yield weak convergence for bounded sequences and nets in CAT() spaces have been studied in the past. We are here concerned with weak topologies that yield w…
math.MG2021
Compact sets and the closure of their convex hulls in CAT(0) spaces
Arian Bërdëllima
We study the closure of the convex hull of a compact set in a complete CAT(0) space. First we give characterization results in terms of compact sets and the closure of their convex…