nLab
Grpd

Context

Category theory

Homotopy theory

categories of categories

Contents

Definition

The (2,1)-category GrpdGrpd is the 2-category whose

This is the full sub-2-category of Cat on those categories that are groupoids.

Properties

Presentation

One may regard GrpdGrpd also just as a 1-category by ignoring the natural isomorphisms between functors. This 1-category may be equipped with the natural model structure on groupoids to provide a 1-categorical presentation of the full (2,1)(2,1)-category.

category: category

Revised on March 10, 2014 06:53:53 by Anonymous Coward (92.140.114.215)