nLab object

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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

Last revised on July 26, 2018 at 08:31:33. See the history of this page for a list of all contributions to it.