nLab
Eilenberg-Zilber operad

Contents

Idea

The Eilenberg–Zilber operad 𝒵 k\mathcal{Z}_k is the endomorphism operad of the chain complex of chains on the standard kk-simplex.

By the method of acyclic model?s by Eilenberg and Zilber, one shows that 𝒵()\mathcal{Z}(\infty) is an E-∞ operad (therefore the name).

Applications

References

See the references at cochains on simplicial sets.

Revised on June 16, 2012 08:24:01 by Anonymous Coward (71.249.97.93)