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A Note on Euclidean Ramsey Theory
Authors:James H Schmerl
Institution:(1) Department of Mathematics, University of Connecticut, Storrs, CT 06269-3009, USA
Abstract:Suppose n ≥ 2 and $X,Y \subseteq {\Bbb R}^n$ are such that X is infinite and Y is the set of vertices of an n-simplex. Then there is blue/red coloring of ${\Bbb R}^n$ such that no set similar to X is monochromatically blue and no set similar to Y is monochromatically red.
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