Contents: Chapter 0, About the course, and these notes; Chapter 1, Making some things precise.
Chapter 2, Free groups
Chapter 3, A Cook's tour of other universal constructions
Chapter 4, Ordered sets, induction, and the Axiom of Choice
Chapter 5, Lattices, closure operators, and Galois connections
Chapter 6, Categories and functors
Rotated diagram to go on p.152.
Chapter 7, Universal constructions in category-theoretic terms
Chapter 8, Varieties of algebras
Chapter 9, Algebra and coalgebra objects in categories, and functors having adjoints. |