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A counterexample to Borsuk's conjecture

Author: Jeffrey A Kahn; Gil Kalai
Publisher: [Place of publication not identified] : DIMACS, Center for Discrete Mathematics and Theoretical Computer Science, [1992]
Series: DIMACS technical report, 92-58.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
Abstract: "Let f(d) be the smallest number so that every set in R[superscript d] 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) [> or =] (1.1)[superscript the square root of d]."
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Document Type: Book
All Authors / Contributors: Jeffrey A Kahn; Gil Kalai
OCLC Number: 33450607
Notes: "December, 1992."
Description: 4 pages ; 28 cm.
Series Title: DIMACS technical report, 92-58.
Responsibility: by Jeff Kahn and Gil Kalai.

Abstract:

Abstract: "Let f(d) be the smallest number so that every set in R[superscript d] 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) [> or =] (1.1)[superscript the square root of d]."

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