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Geometric realization of simplicial complexes

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1999) 1731 323-332
DOI: 10.1007/3-540-46648-7_33
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Abstract

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.

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De Mendez, P. O. (1999). Geometric realization of simplicial complexes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1731, pp. 323–332). Springer Verlag. https://doi.org/10.1007/3-540-46648-7_33

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