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Geometrical realization of set systems and probabilistic communication complexity

Geometrical realization of set systems and probabilistic communication complexity

Let d = d(n) be the minimum d such that for every sequence of n subsets F1, F2, . . . , Fn of {1, 2, . . . , n} there exist n points P1, P2, . . . , Pn and n hyperplanes H1, H2 .... , Hn …