# Definition:Category Theory

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## Definition

**Category theory** is the branch of abstract algebra which studies categories.

It can be described as the **theory of functors**.

## Also known as

Steve Awodey, in *Category Theory, 2nd ed.*, takes the arrow analogy and runs with it, by proposing the term **archery** in place of **category theory**.

## Also see

- Results about
**category theory**can be found**here**.

## Sources

- 1964: Peter Freyd:
*Abelian Categories*... (previous) ... (next): Introduction - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**category theory**