Abstract
Let f(d) be the smallest number so that every set in Rd of diameter 1 can be partitioned into f(d) sets of diameter smaller than 1. Borsuk’s conjecture was that f(d) = d+1. We prove that f(d) ≥ (1.2)(Equation presented) for large d.
Original language | English |
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Pages (from-to) | 60-62 |
Number of pages | 3 |
Journal | Bulletin of the American Mathematical Society |
Volume | 29 |
Issue number | 1 |
DOIs |
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State | Published - Jul 1993 |