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sylleptic 3-group

Context

Group Theory

(,1)(\infty,1)-Category theory

Contents

Definition

Definition

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

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

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

  3. GG is a 3-tuply monoidal 2-groupoid.

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

Examples

Revised on December 13, 2012 04:21:42 by Urs Schreiber (71.195.68.239)