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Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming

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Can convex combinations of indicator functions for pairwise non-disjoint sets unordered by i...

Let $N$ be a finite subset of the naturals. Let $P$ be a set of subsets of $N$ such that: 1) $P\neq \varnothing$, 2) $\forall x\in P, |x| >1$, 3) $\forall x,y\in P,$ if $x\neq y$, then $x\not\subse …
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