Convex analysis on polyhedral spaces
Combinatorics
2021-09-14 v2 Algebraic Geometry
Abstract
We introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.
Cite
@article{arxiv.1911.04821,
title = {Convex analysis on polyhedral spaces},
author = {Ana María Botero and José Ignacio Burgos Gil and Martín Sombra},
journal= {arXiv preprint arXiv:1911.04821},
year = {2021}
}
Comments
Revised version, 40 pages, 5 figures. To appear in Mathematische Zeitschrift