Helly-type Theorems for Plane Convex Curves
Metric Geometry
2016-09-07 v1
Abstract
Families of translates and homothets of strictly convex curves are proven to possess Helly-type properties generalizing those of a circle. Weaker results are shown for arbitrary convex curves.
Keywords
Cite
@article{arxiv.math/0010311,
title = {Helly-type Theorems for Plane Convex Curves},
author = {Alexander Getmanenko},
journal= {arXiv preprint arXiv:math/0010311},
year = {2016}
}
Comments
6 pages, Latex