Lecture Notes in Computer Science Volume 1731, 1999, pp 323-332
Date: 03 Mar 2000

Geometric Realization of Simplicial Complexes

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We show that an abstract simplicial complex Δ may be realized on a grid of IRd-1, where d = dim P(Δ) is the order dimension (Dushnik-Miller dimension) of the face poset of Δ.