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 $k$th chain homology of a functor applied to a suitable resolution. Omitting the passage 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.

Revised on January 8, 2015 08:05:49 by Tim Porter (2.31.57.149)