A Weak Form of Borsuk Conjecture

Posted on July 23, 2012 by

Problem: Let P be a polytope in R^d with n facets. Is it always true that P can be covered by n sets of smaller diameter?

 

I also asked this question over mathoverflow, with some background and motivation.

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2 Responses to A Weak Form of Borsuk Conjecture

  1. Pingback: Some old and new problems in combinatorics and geometry | Combinatorics and more

  2. Pingback: Around Borsuk’s Conjecture 3: How to Save Borsuk’s conjecture | Combinatorics and more

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