# The axioms for n–angulated categories

@article{Bergh2011TheAF, title={The axioms for n–angulated categories}, author={Petter Andreas Bergh and Marius Thaule}, journal={Algebraic \& Geometric Topology}, year={2011}, volume={13}, pages={2405-2428} }

We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Op- permann in (2). 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. Triangulated categories were introduced independently in algebraic geometry by Verdier (9, 10), based on ideas of…

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