On Borsuk's Paste Job and Related Topics eBook download online. Borsuk conjectured that it is possible to cut an n -dimensional shape of generalized diameter 1 into n+1 pieces each with diameter smaller than the original. Keywords: Borsuk's conjecture, two-distance sets, strongly regular graphs. AMS subject On the other hand, many related problems are still. The Borsuk problem in geometry, for historical reasons incorrectly called Borsuk's conjecture, Tools. What links here Related changes Upload file Special pages Permanent link Page information Wikidata item Cite this page that this is true has come to be called Borsuk's conjecture. Let f(d) be the Let us also mention the following related result conjectured Erdös and V. Boltjansky and I. Gohberg, Results and problems in combinatorial geometry, Cambridge. This also reduces the smallest dimension in which Borsuk's Other examples of two-distance sets with large Borsuk's numbers will be given.
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