nLab
complex

Context

Homological algebra

homological algebra

and

nonabelian homological algebra

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Contents

Definition

In a additive category with translation T:CCT : C \to C a complex is a differential object

d X:XTX d_X : X \to T X

such that

Xd XTXTd XTTX X \stackrel{d_X}{\to} T X \stackrel{T d_X}{\to} T T X

is the zero morphism.

Examples

References

For instance section 11 of

Revised on September 1, 2012 18:21:09 by Urs Schreiber (82.113.121.88)