nLab
filtered chain complex

Skip the Navigation Links | Home Page | All Pages | Recently Revised | Authors | Feeds | Export |

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

References

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

Revised on September 11, 2012 09:26:16 by Tim Porter (95.147.237.88)
Edit | Back in time (3 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: chain complex, Grothendieck spectral sequence, spectral sequence, Tor, spectral sequence of a filtered complex, bounded chain complex, filtered object, tensor product of chain complexes, spectral sequence of a double complex, cellular homology, bigraded object, connective chain complex