On Helly's theorem in geodesic spaces
Metric Geometry
2014-05-20 v3
Abstract
In this short note we show that Helly's Intersection Theorem holds for convex sets in uniquely geodesic spaces (in particular in CAT(0) spaces) without the assumption that the convex sets are open or closed.
Keywords
Cite
@article{arxiv.1401.6654,
title = {On Helly's theorem in geodesic spaces},
author = {Sergei Ivanov},
journal= {arXiv preprint arXiv:1401.6654},
year = {2014}
}
Comments
3 pages, v3: added more references and details