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