1
Category
Definition and basic concepts of categories
2
Functor
Definition and examples of functors
3
Natural Transformations
Natural transformations and equivalence between categories
4
Representable Functors
Initial objects, terminal objects, and representable functors
5
Limits
Limits and colimits
6
Monoidal Categories
Definition and coherence conditions of monoidal categories
7
Monoid Objects
Monoid objects in monoidal categories and their examples
8
Adjoint Functors
Definitions of left and right adjoint functors
9
Abelian Categories
Abelian categories