Right triangulated categories: As extriangulated categories, aisles and co-aisles
Category Theory
2021-06-18 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.2106.09107,
title = {Right triangulated categories: As extriangulated categories, aisles and co-aisles},
author = {Aran Tattar},
journal= {arXiv preprint arXiv:2106.09107},
year = {2021}
}
Comments
28 pages, comments welcome!