Contents

# Contents

## Idea

A cochain complex $V^\bullet$ in an Ab-enriched category $C$ may be regarded as a chain complex (see there for more) in $C$, but with the sign of the $\mathbb{Z}$-grading reversed.

This means that for a cochain complex $(V^\bullet,d)$ the differential (or coboundary operator) $d$ increases the degree

$d \colon V^{k} \to V^{k+1} \,.$

## Examples

Last revised on July 10, 2021 at 16:19:22. See the history of this page for a list of all contributions to it.