Pareigis B. Category Theory

München: Ludwig-Maximilians-Universität (LMU), 2004. — 90 p.Introduction.
Foundations.
Graphs.
Monoids.
Categories.
Constructions on categories.
Functors.
Special types of functors.
Natural transformations.
Representable functors and the Yoneda Lemma.
Representable functors.
Terminal and initial objects.
The extension principle.
Isomorphisms.
Monomorphisms and epimorphisms.
Subobjects.
Products.
Equalizers.
Universal elements.
The Yoneda Lemma.
Algebraic Structures.
Limits.
Adjoint functors and monads.
Adjoint functors.
Monads or Triples.
Factorizations of a monad.
Algebraic Categories.
More facts about adjoint functors.