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- W2949420697 abstract "Let $f(d)$ be the smallest number so that every set in $R^d$ 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 $f(d)! ge! (1.2)^{sqrt d}$ for large~$d$." @default.
- W2949420697 created "2019-06-27" @default.
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- W2949420697 date "1993-07-01" @default.
- W2949420697 modified "2023-09-27" @default.
- W2949420697 title "A counterexample to Borsuk's conjecture" @default.
- W2949420697 hasPublicationYear "1993" @default.
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