nLab
object

Contents

Definition

A category consists of a collection of objects together with morphisms between these objects. Thus, naively, we may think of objects as the ‘elements’ of a category.

More generally, in higher category theory the objects of an (n,r)(n,r)-category are the 00-dimensional cells of that structure, the 00-morphisms.

Examples

Revised on October 17, 2011 21:48:38 by Toby Bartels (64.89.53.28)