#### Volume 13, issue 4 (2013)

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The axioms for $n$–angulated categories

### Petter Andreas Bergh and Marius Thaule

Algebraic & Geometric Topology 13 (2013) 2405–2428
##### Abstract

We discuss the axioms for an $n$–angulated category, recently introduced by Geiss, Keller and Oppermann in [J. Reine Angew. Math. 675 (2013) 101–120]. In particular, we introduce a higher “octahedral axiom”, and show that it is equivalent to the mapping cone axiom for an $n$–angulated category. For a triangulated category, the mapping cone axiom, our octahedral axiom and the classical octahedral axiom are all equivalent.

##### Keywords
triangulated categories, $n$–angulated categories, octahedral axiom
Primary: 18E30