# nLab triangulated functor

Contents

### Context

#### Homological algebra

homological algebra

Introduction

diagram chasing

### Theorems

#### Stable homotopy theory

stable homotopy theory

Introduction

# Contents

## Idea

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

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.