2006/11/06 by Jonathan Ariel Barmak, Barmak, Jonathan Ariel, Elías Gabriel Minian +2
Computer Science · Mathematics · #18B35 #18G30 #55P10 #55P15 #Advanced Mathematical Modeling in Engineering #Algebraic Topology (math.AT) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations #math.AT #msc:18B35 #msc:18G30 #msc:55P10 #msc:55P15
paper · pdf · doi:10.48550/arxiv.math/0611156
13 pages
arxiv created 2006/11/06 · openalex publication_date 2006/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterize the smallest finite spaces with the same homotopy groups of the spheres. Similarly, we describe the minimal finite models of any finite graph. We also develop new combinatorial techniques based on finite spaces to study classical invariants of general topological spaces.