Abstract
We discuss the axioms for an –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 –angulated category. For a triangulated category, the mapping cone axiom, our octahedral axiom and the classical octahedral axiom are all equivalent.
Citation
Petter Andreas Bergh. Marius Thaule. "The axioms for $n$–angulated categories." Algebr. Geom. Topol. 13 (4) 2405 - 2428, 2013. https://doi.org/10.2140/agt.2013.13.2405
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