2011/08/24 by Nicolás Ariel Capitelli, Nicolas Ariel Capitelli, Capitelli, Nicolas Ariel +3
Computer Science · Mathematics · #52B22 #52B70 #57Q10 #57Q15 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:52B22 #msc:52B70 #msc:57Q10 #msc:57Q15
paper · pdf · doi:10.48550/arxiv.1108.4955
18 pages, 6 figures
arxiv created 2011/08/24 · openalex publication_date 2011/08/24 · arxiv updated 2011/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds.