nLab complex

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

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

Last revised on October 11, 2022 at 19:26:31. See the history of this page for a list of all contributions to it.