# Definition

A graded-cocommutative codifferential coalgebra is a cocommutative comonoid in the category of chain complexes (of modules over some ring).

We write $CoDGCA$ for the category of such codifferential coalgebras.

## Remarks

• Codifferential coalgebras whose underlying graded-cocommutative coalgebra is free over a complex of vector spaces in positive degree are Lie infinity-algebras.

# References

• Ezra Getzler and Paul Goerss, A model category structure for differential graded coalgebras (ps)

# Blog resources

category: category

Revised on December 14, 2008 07:56:00 by Toby Bartels (71.104.234.95)