nLab sylleptic 3-group

Contents

group theory

Cohomology and Extensions

$(\infty,1)$-Category theory

(∞,1)-category theory

Contents

Definition

Definition

A sylleptic 3-group is a 3-group equipped with the following equivalent structure:

1. Regarded as a monoidal 2-category, $G$ is a sylleptic monoidal 2-category.

2. The A-∞ algebra/E1-algebra structure on $G$ refines to an E3-algebra structure.

3. $G$ is a 3-tuply monoidal 2-groupoid.

4. $G$ is a groupal 3-tuply monoidal (2,0)-category.

References

Last revised on July 21, 2021 at 13:06:09. See the history of this page for a list of all contributions to it.