Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4667764 | Advances in Mathematics | 2007 | 17 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)