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A counterexample to Borsuk's conjecture

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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  • "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].""@en

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  • "A counterexample to Borsuk's conjecture"@en

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