Realization of Posets

We prove a very general representation theorem for posets and, as a corollary, deduce that any abstract simplicial complex has a geometric realization in the Euclidean space of dimension dim P() - 1, where dim P() is the Dushnik-Miller dimension of the face order of . Communicated by H. de Fraysseix and and J. Kratochv

• Type: Journal
• Year: 2002
• Where: JGAA
• Authors: Patrice Ossona de Mendez
• Keywords: Abstract Simplicial Complex, General Representation Theorem, Geometric Realization, JGAA 2002