S. Avvakumov

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We study conditions under which a finite simplicial complex K can be mapped to d-dimensional Euclidean space R d without higher-multiplicity intersections. An almost r-embedding is a map f : K → R d such that the images of any r pairwise disjoint simplices of K do not have a common point. We show that if r is not a prime power and d ≥ 2r, then there is a(More)
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