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A triangulated category is an additive category equipped with the additional structure of an autoequivalence (called the translation functor) and a class of of triangles satisfying certain axioms.

17 votes

Pre-triangulated category that isn't triangulated

I have to say that this article http://arxiv.org/abs/1506.00887 has at least one mistake. Lemma 3.5, Counterexample - take group $G=$ sequences of integer numbers $=\mathbb{Z}^\mathbb{N}$. $\ell$ an …
Pierre-Guy Plamondon's user avatar