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Borsuk’s theorem and the number of facets of centrally symmetric polytopes. (English) Zbl 0514.52003

MSC:
52Bxx Polytopes and polyhedra
54H25 Fixed-point and coincidence theorems (topological aspects)
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References:
[1] J. Beck, On a geometric problem of Erdos, Sárközy and Szemerédi (to appear).
[2] P. Erdos, Some unsolved problems in graph theory and combinatorial analysis,Combinatorial Mathematics and its Applications (Proc. Conf. Oxford, 1969) Academic Press (London and New York, 1971) 97–109.
[3] B. Grünbaum,Convex Polytopes (New York, 1967).
[4] P. McMullen (private communication, 1981).
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