Article ID Journal Published Year Pages File Type
4667764 Advances in Mathematics 2007 17 Pages PDF
Abstract

Helly and Hadwiger type theorems for transversal m-flats to families of flats and, respectively, convex sets of dimension n are proved in the case of general position. The proofs rely on Helly type theorems for “linear partitions” and “convex partitions,” so that a general theory of Helly numbers is also developed.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)