
Containing example exercises, this reference to category theory is suitable for researchers and graduates in philosophy mathematics, and computer science. With definitions of concepts and proofs of propositions and theorems, the text makes the ideas of this topic understandable to the broad readership.
https://www.goodreads.com/book/show/2047855.Category_Theory
It's a mathematics book written by a philosophy professor that is extremely readable for computer scientists. Very CMU, much wow, such deduction.
https://global.oup.com/academic/product/category-theory-9780...
On a personal note, I remember Awodey from my Senior Thesis seminar. He was very amicable and affable. During my presentation, I remember having to demonstrate Cantor's diagonalisation argument. Luckily for me it was one of the things I spent a good amount of time studying. Had a great time there.
If you want a mathematical exposition. "Category Theory" by Awodey page 265 is a concise description.