2002/01/01 by Patrice Ossona deMendez · 7 citations
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics #Realization (probability) #Computer science #Mathematics #Combinatorics
paper · doi:10.7155/jgaa.00048
published in Journal of Graph Algorithms and Applications 6(1), 149-153
openalex publication_date 2002/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
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 dimP(∆)−1, where dimP(∆) is the Dushnik-Miller dimension of the face order of ∆.