A Little Story Regarding Borsuk’s Conjecture

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.


7 thoughts on “A Little Story Regarding Borsuk’s Conjecture

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

  2. rjlipton

    Should try on other problems. One of the most beautiful papers. Also love that when against conventional wisdom.

  3. Gil Kalai Post author

    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.

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

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

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

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s