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Suborbits in Knaster's problem
journal contributionposted on 2013-10-01, 00:00 authored by Boris Bukh, Roman N. Karasev
In this paper, we exhibit a similarity between Euclidean Ramsey problems and Knaster-type problems. By borrowing ideas from Ramsey theory, we prove weak Knaster properties of non-equatorial triangles in spheres, and of simplices in Euclidean spaces.