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arXiv:1212.5351 [math.FA]AbstractReferencesReviewsResources

Suborbits in Knaster's problem

Boris Bukh, Roman Karasev

Published 2012-12-21, updated 2013-10-01Version 3

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.

Comments: Minor corrections are made after reviewing in the journal
Journal: Bull. London Math. Soc. 46:2 (2014), 269-278
Categories: math.FA, math.CO
Subjects: 46B07, 05D10, 52C99
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