Suborbits in Knaster's problem
classification
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math.CO
keywords
euclideanknasterproblemsramseyborrowingexhibitideasknaster-type
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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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