**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.

### Like this:

Like Loading...

*Related*

We tried it again but it never worked so nicely…

Pingback: Some musings around Borsuk’s conjecture « Konrad Swanepoel’s blog

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.

Pingback: Open Problems in High Dimension Geometry « Gödel’s Lost Letter and P=NP

Pingback: What Is The Object? « Gödel’s Lost Letter and P=NP

Pingback: Around Borsuk’s Conjecture 3: How to Save Borsuk’s conjecture | Combinatorics and more