nLab associated graded vector space

Definition

An associated graded vector space is an associated graded object in a category Vect of vector spaces.

Examples

• weight systems are associated graded of Vassiliev invariants

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

associated graded objects

• associated graded vector space

• associated graded ring