Some old and new problems in combinatorial geometry I: Around borsuk’s problem

Gil Kalai

doi:10.1017/CBO9781316106853.005

Some old and new problems in combinatorial geometry I: Around borsuk’s problem

Gil Kalai^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

14 Scopus citations

Abstract

Borsuk [16] asked in 1933 if every set of diameter 1 in <bold>R</bold>^d can be covered by d + 1 sets of smaller diameter. In 1993, a negative solution, based on a theorem by Frankl and Wilson [42], was given by Kahn and Kalai [65]. In this paper I will present questions related to Borsuk's problem.

Original language	English
Title of host publication	Surveys in Combinatorics 2015
Publisher	Cambridge University Press
Pages	147-174
Number of pages	28
ISBN (Electronic)	9781316106853
ISBN (Print)	9781107462502
DOIs	https://doi.org/10.1017/CBO9781316106853.005
State	Published - 1 Jan 2015

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© Cambridge University Press 2015.

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Some old and new problems in combinatorial geometry I: Around borsuk’s problem

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