Right triangulated categories: As extriangulated categories, aisles and co-aisles

Aran Tattar

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arXiv · 2106.09107

Right triangulated categories: As extriangulated categories, aisles and co-aisles

Aran Tattar

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Abstract

Right triangulated categories can be thought of as triangulated categories whose shift functor is not an equivalence. We give intrinsic characterisations of when such categories have a natural extriangulated structure and are appearing as the (co-)aisle of a (co-)t-structure in an associated triangulated category.

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Aran Tattar. 2021-06-16. Right triangulated categories: As extriangulated categories, aisles and co-aisles. https://arxiv.org/abs/2106.09107

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