Proposition 9.10.2.1.2 (0196): Properties of the Category $\mathsf{Cats}$

Preferences





Font:

PDF Style:

Here's a breakdown of the differences between each PDF style:

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

*To be replaced with Linus Romer's Elemaints when it is released.

Let $\mathcal{C}$ be a category.

Co/Completeness. The category $\mathsf{Cats}$ is complete and cocomplete.
Cartesian Monoidal Structure. The quadruple $\webleft (\mathsf{Cats},\times ,\mathsf{pt},\mathsf{Fun}\webright )$ is a Cartesian closed monoidal category.

Proof of Proposition 9.10.2.1.2.

Item 1: Co/Completeness

Omitted.

Item 2: Cartesian Monoidal Structure

Omitted.

Noticed something off, or have any comments? Feel free to reach out!

You can also use the contact form below: