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arXiv · 2409.05561

The axioms for right (n+2)-angulated categories

Jing He·Jiangsha Li
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Abstract

Drawing inspiration from the works of Beligiannis-Marmaridis and Lin, we refine the axioms for a right $(n+2)$-angulated category and give some examples of such categories. Interestingly, we show that the morphism axiom for a right $(n+2)$-angulated category is actually redundant. Moreover, we prove that the higher octahedral axiom is equivalent to the mapping cone axiom for a right $(n+2)$-angulated category.

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Jing He, Jiangsha Li. 2024-09-09. The axioms for right (n+2)-angulated categories. https://arxiv.org/abs/2409.05561

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