nLab total derived functor

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Contents

Context

Homological algebra

homological algebra

(also nonabelian homological algebra)

Introduction

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Schanuel's lemma

Homology theories

Theorems

Contents

Idea

In the context of derived functors in homological algebra one often says “kkth derived functor” for the kkth 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.

Last revised on September 16, 2017 at 18:21:55. See the history of this page for a list of all contributions to it.