Jeff Kahn
Jeff and I worked on the problem for several years. Once he visited me with his family for two weeks. Before the visit I emailed him and asked: What should we work on in your visit?
Jeff asnwered: We should settle Borsuk’s problem!
I asked: What should we do in the second week?!
and Jeff asnwered: We should write the paper!
And so it was.
You can download our paper here. Here is the proof itself.
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We tried it again but it never worked so nicely…
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Should try on other problems. One of the most beautiful papers. Also love that when against conventional wisdom.
Thanks! I suppose our result indeed went against the conventional wisdom although some people did raise the possibility that a combinatorially defined configuration of points will be a counter example.
There was a special case of Borsuk’s conjecture formulated by Larman in terms of intersecting families of sets which surprisingly looked much “less true” than the full conjecture.
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