Proposition 9.10.3.1.2 (019B): Properties of the 2-Category $\mathsf{Cats}_{\mathsf{2}}$

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.

Table of Contents
Part 3: Category Theory
Chapter 9: Categories
Section 9.10: Categories of Categories
Subsection 9.10.3: The $2$-Category of Categories, Functors, and Natural Transformations
Proposition 9.10.3.1.2: Properties of the 2-Category $\mathsf{Cats}_{\mathsf{2}}$ (cite)

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

2-Categorical Co/Completeness. The 2-category $\mathsf{Cats}_{\mathsf{2}}$ is complete and cocomplete as a 2-category, having all 2-categorical and bicategorical co/limits.

Proof of Proposition 9.10.3.1.2.

Item 1: Co/Completeness

Omitted.

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

You can also use the contact form below: