Category Theory - Lecture 3 Part 2
Channel: An Antipodal Algebraic Topologist
Date: 2019-06-27

There was some mention of applied category theory outside of the recording, interested people might want to look at this book on the topic: https://arxiv.org/abs/1803.05316
You can also find lectures that go with this book here: https://ocw.mit.edu/courses/mathematics/18-s097-applied-category-theory-january-iap-2019/

In this video we define what a simplicial object is, and give an important example for algebraic topology. Following this we define co/limits of functors, and see that this encodes some of the universal properties that we discussed in an earlier lecture.

We wrap up by mentioning categories of categories, and give a definition of comma categories.