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Selected Proofs on Coverings by Planks and Cylinders

Chapter
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

Lemma 10.1.1 If a convex body K in \(\mathbb{E}^d\),d ≥2 is covered by the planks P 1 and P 2, then w C(P 1) + w C(P 2) ≥ w C(K) for any convex body C in \(\mathbb{E}^d\).

Keywords

Unit Ball Convex Body Linear Subspace Constant Width Surface Area Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

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