Simplicial subdivision

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Given a simplex, LaTeX: S, its simplicial subdivision is a collection of simplices, say LaTeX: \{T_i\} such that LaTeX: \textstyle \lor_i\{T_i\} = S and for any LaTeX: i and LaTeX: j, either the intersection LaTeX: \textstyle T_i \land T_j is empty or equals the closure of a common face. The mesh of the subdivision is the diameter of the largest sub-simplex. This arises in a fixed point approach to compute an economic equilibrium.


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