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Around Borsuk's Covering Problem

Wednesday, December 21st, 4:10pm Tel Aviv time (3:10pm CET, 9:10am NY time)

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Gil Kalai, Hebrew University

Abstract:

Borsuk asked in 1933 if every set of diameter one in Euclidean d-space can
be covered by d + 1 sets of smaller diameter. In 1993, a negative solution,
based on a theorem by Frankl and Wilson, was given by Kahn and the
speaker. In the lecture I will present various questions and results related
to Borsuk’s covering problem.

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