nLab
triangulated functor

Context

Homological algebra

homological algebra

(also nonabelian homological algebra)

Introduction

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Stable homotopy theory

Contents

Idea

A triangulated functor F:TTF : T \to T' between two triangulated categories TT and TT' is an additive functor that commutes with translation and preserves the distinguished triangles.

(Neeman 01, def. 2.1.1)

Triangulated functors are also called exact functors (not to be confused with the other meaning of exact functor).

References

  • Amnon Neeman, Triangulated Categories, Princeton University Press (2001)

Last revised on June 29, 2016 at 15:16:15. See the history of this page for a list of all contributions to it.