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On starshaped sets and Helly-type theorems

On starshaped sets and Helly-type theorems

Suppose an ordered pair of sets (S, K) in a linear topological space is of Helly type (n + 1, n), i.e., for every n + 1 distinct points in S there is a point in K which sees at least n of them via S. Then if S is …