Exercises in category theory

(Last updated: December 2022)

I will be making a series of posts that contains edited versions of some of the short answers I submitted for my category theory course at the University of Cape Town. These were answers to a number of exercises in Prof. George Janelidze’s category theory notes¹. Every week we had to submit a short essay of sorts, which made up our continuous assessment mark, as well as a final essay which functioned as our exam.

Here are the links to the posts (as they are uploaded):

• Groupoids and skeletons of monoids and preorders
• Free algebras by means of a universal property
• Category of modules and category of vector spaces as algebraic categories
• M-sets and Yoneda for monoids
• hom-Sets
• Monomorphisms and epimorphisms