nLab 3-morphism

Context

Higher category theory

higher category theory

Contents

Definition

A 3-morphism in an n-category is a morphism between 2-morphisms.

Examples

For $A$ an abelian group, the 3-fold delooping $\mathbf{B}^3 A$ is a 3-groupoid whose 3-morphisms are given by $A$.

Revised on September 11, 2010 10:33:26 by Urs Schreiber (188.20.66.18)