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arXiv · 1112.2533

The axioms for n-angulated categories

Petter Andreas Bergh·Marius Thaule
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Abstract

We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Oppermann. 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.

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Petter Andreas Bergh, Marius Thaule. 2012-01-17. The axioms for n-angulated categories. https://doi.org/10.2140/agt.2013.13.2405

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