Geometric Realization Of Simplicial Complexes
Patrice Ossona de Mendez · 1999
We show here that an abstract simplicial complex may be realized in R d , with d = dimP() 1, where dimP() is the order dimension (Dushnik-Miller dimension) of the face poset of . More precisely, is realized as a subcomplex of a triangulation + (having the same vertices as ) of the d-dimensional simplex. Further properties of this triangulation are studied, such as shellability.