Helly-type Theorems for Plane Convex Curves

Details Helly-type Theorems for Plane Convex Curves Helly-type Theorems for Plane Convex Curves

2000-10-31

arxiv.org/abs/math/0010311v1

Mathematics

Metric Geometry

6 pages, Latex

Scientific paper

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.

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