nLab
bounded chain 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

A chain complex A A_\bullet is called

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

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

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

Examples

Revised on January 15, 2015 07:13:06 by Tim Porter (2.31.52.215)