# nLab generalized (infinity,1)-operad

Contents

### Context

#### Higher algebra

higher algebra

universal algebra

# Contents

## Idea

An ordinary (∞,1)-operad $\mathcal{O}$ is equivalently incarnated as its (∞,1)-category of operators $\mathcal{O}^\otimes \to FinSet_*$, which in particular has the property that $\mathcal{O}^{\otimes}_{\langle 0\rangle} \simeq *$.

A generalized $(\infty,1)$-operad is like an (∞,1)-category of operators only that this condition is dropped and

$\mathcal{C} \coloneqq \mathcal{O}^{\otimes}_{\langle 0\rangle}$

is allowed to be any (∞,1)-category.

It is essentially the same kind of data as a family of (∞,1)-operads (see there for more) parameterized over $\mathcal{C}$.

## References

Section 2.3.2 of

Created on February 11, 2013 at 19:31:33. See the history of this page for a list of all contributions to it.