Definition:Equivalence of Categories/Equivalent Categories

Definition

Let $\mathbf C$ and $\mathbf D$ be metacategories.

Let there exist an equivalence of categories between $\mathbf C$ and $\mathbf D$.

Then $\mathbf C$ and $\mathbf D$ are said to be equivalent, denoted $\mathbf C \simeq \mathbf D$.

Also see

• Definition:Isomorphic Categories

Sources

There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.