2010/05/19 by Daniel C. Cohen, Cohen, Daniel C., Michael Färber +4
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Probability (math.PR) #Topological and Geometric Data Analysis #math.AT #math.PR
paper · pdf · doi:10.48550/arxiv.1005.3383
arxiv created 2010/05/19 · openalex publication_date 2010/05/19 · arxiv updated 2010/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the Linial-Meshulam model of random two-dimensional complexes. We prove that a random 2-complex is homotopically one dimensional, with probability tending to one as n tends to infitnity, assuming that the probability parameter p satisfies pn --> 0.