# nLab total derived functor

### Context

#### Homological algebra

homological algebra

and

nonabelian homological algebra

diagram chasing

# Contents

## Idea

In the context of derived functors in homological algebra one often says ”$k$th derived functor” for the $k$thchain homology of a functor applied to a suitable resolution. Omitting the pagge to homology here is then called forming the total derived functor. In more general contexts of homotopy theory that total derived functor would simply be called the derived functor itself.

See at derived functor in homological algebra for a detailed discussion.

Created on August 26, 2012 19:31:40 by Urs Schreiber (89.204.137.239)