Abstract:We present a motivated exposition of the proof of the following Tverberg Theorem: For every integers d, r any (d + 1)(r − 1) + 1 points in R d can be decomposed into r groups such that all the r convex hulls of the groups have a common point. The proof is by wellknown reduction to the Bárány Theorem. However, our exposition is easier to grasp because additional constructions (of an embedding R d ⊂ R d+1 , of vectors ϕ j,i and statement of the Barańy Theorem) are not introduced in advance in a non-motivated way… Show more
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