2016/12/28 by Zengqiang Lin, Yan Zheng, Lin, Zengqiang +1
Mathematics · #18E10 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.CT #math.RT #msc:18E10 #msc:18E30
paper · pdf · doi:10.48550/arxiv.1612.08903
Any comments are welcome
arxiv created 2016/12/28 · openalex publication_date 2016/12/28 · arxiv updated 2016/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has been proved by Bergh and Thaule that the higher mapping cone axiom is equivalent to the higher octahedral axiom for n-angulated categories. In this note, we use homotopy cartesian diagrams to give several new equivalent statements of the higher mapping cone axiom, which are applied to explain the higher octahedral axiom.