2007/01/23 by Simona Paoli, Paoli, Simona · 1 citation
Mathematics · #18D05 #18G50 #55P15 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18D05 #msc:18G50 #msc:55P15
paper · pdf · doi:10.48550/arxiv.math/0701655
77 pages. The paper has undergone major revision from the previous version to improve its presentation. There have been various structural changes, background and informal discussion sections added, and some improvements in the proofs
openalex publication_date 2007/01/23 · arxiv created 2007/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Tamsamani's weak n-groupoids are known to model n-types. In this paper we show that every Tamsamani weak n-groupoid representing a connected n-type is equivalent in a suitable way to a semistrict one. We obtain this result by comparing Tasmamani's weak n-groupoids and cat^(n-1)-groups as models of connected n-types.