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A note on Borsuk’s problem in Minkowski spaces

A note on Borsuk’s problem in Minkowski spaces

In 1993, Kahn and Kalai famously constructed a sequence of finite sets in d-dimensional Euclidean spaces that cannot be partitioned into less than parts of smaller diameter. Their method works not only for the Euclidean, but for all lp-spaces as well. In this short note, we observe that the larger …