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arXiv · 1212.5351

Suborbits in Knaster's problem

Boris Bukh·Roman Karasev
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Abstract

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.

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Boris Bukh, Roman Karasev. 2013-10-01. Suborbits in Knaster's problem. https://doi.org/10.1112/blms%2Fbdt088

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