Category of Finite Sets is Cartesian Closed
Theorem
Let $\mathbf{Finset}$ be the category of finite sets.
Then $\mathbf{Finset}$ is Cartesian closed.
Proof
will be tedious until some theorems on subcategories are available
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Sources
- 2010: Steve Awodey: Category Theory ... (previous) ... (next): $\S 6.2$: Example $6.3$
