# nLab bounded chain complex

### Context

#### Homological algebra

homological algebra

Introduction

diagram chasing

# Contents

## Definition

A chain complex $A_\bullet$ is called

• bounded above if there exists $n \in \mathbb{Z}$ such that $A_k = 0$ for all $k \gt n$;

• bounded below if there exists $n \in \mathbb{Z}$ such that $A_k = 0$ for all $k \lt n$;

• bounded if it is both bounded above and bounded below.

## Examples

Last revised on January 15, 2015 at 07:13:06. See the history of this page for a list of all contributions to it.