2003/10/13 by Michel Deza, Deza, Michel, Mathieu Dutour +5 · 1 citation
Computer Science · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.CO #math.GT
paper · pdf · doi:10.48550/arxiv.math/0310165
10 pages, 1 table, 3 figures
arxiv created 2003/10/13 · openalex publication_date 2003/10/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider closed simplicial and cubical n-complexes in terms of link of their (n-2)-faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every (n-2)-face is contained in 3 or 4 n-faces. Such simplicial complexes with \em short (i.e. of length 3 or 4) links are completely classified by their \em characteristic partition. We consider also embedding into hypercubes of the skeletons of simplicial and cubical complexes.