# nLab Eilenberg-Zilber operad

### Context

#### Higher algebra

higher algebra

universal algebra

# Contents

## Idea

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

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

## References

See the references at cochains on simplicial sets.

Last revised on June 16, 2012 at 08:24:01. See the history of this page for a list of all contributions to it.