Computer Laboratory

Course pages 2015–16

Category Theory and Logic

Lecture slides

Lecture summaries

  • Lecture 1: Introduction; some history; content of this course. Definition of category. The category of sets and functions. Alternative definitions of category.
  • Lecture 2: Commutative diagrams. Examples of categories: pre-ordered sets and monotone functions; monoids and monoid homomorphisms; a pre-ordered set as a category; a monoid as a category. Definition of isomorphism.
  • Lecture 3: Informal notion of a "category-theoretic" property. Terminal objects. The opposite of a category and the duality principle. Initial objects. Free monoids as initial objects.

Exercise sheets

Office hours

  • The module lecturer will be available to answer questions about the course material and exercises on Wednesdays between 12:00 and 13:00 in FC08 during Full Term.

Additional material