nLab filtered chain 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

A filtered chain complex is a filtered object in a category of chain complexes.

Examples

filtered objects

associated graded objects

References

  • Ross Street, Homotopy classification of filtered complexes, J. Australian Math. Soc. 15 (1973) 298-318 ( and in his thesis:pdf)

Last revised on November 25, 2019 at 14:30:45. See the history of this page for a list of all contributions to it.