Question: If S1, S2, . . . , Sn are convex subsets of the linear spaces X1, X2, . . . ,Xn, their product S1

If S1, S2, . . . , Sn are convex subsets of the linear spaces X1, X2, . . . ,Xn, their product S1 × S2 ×............× Sn is a convex subset of the product space X1 × X2 ×.......× Xn.

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