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Results tagged with triangulated-categories
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user 9669
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.
3
votes
Glueing triangulated categories
I'm not sure but Proposition 1.16 in the paper:
http://arxiv.org/pdf/0911.0172
by Iyama-Kato-Miyachi might be related to your question.
- 191
2
votes
Intuition about the triangulation of a homotopy category K(A)
One possible motivation for considering the triangles in 1. is that they induce long exact sequences
$\cdots \rightarrow Hom_K(Z,C_f[-1]) \rightarrow Hom_K(Z,X) \rightarrow Hom_K(Z,Y)\rightarrow Hom_K …
- 191