nLab filtered chain complex

Definition

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

Examples

• Hodge filtration

Related concepts

filtered objects

• filtered topological space

  • spectral sequence of a tower of fibrations

• filtered vector space

• filtered chain complex

  • spectral sequence of a filtered complex

  • Hodge filtration

• filtered ring

• filtered object in an (∞,1)-category

• filtered stable homotopy type

  • spectral sequence of a filtered stable homotopy type

• filtered probability space

associated graded objects

• associated graded vector space

• associated graded ring

References

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