Lecture Course on Category Theory (Master)
Birgit Richter, email: birgit.richter at uni-hamburg.de
Plan: The aim of this course is to present the basics of category theory (categories, functors, natural transformations, (co)limits, adjunctions, Kan extension etc) and to connect category theory to topology. Every (small) category has a classifying space. These classifying spaces occur in many applications of category theory, for instance in homotopy theory or algebraic K-theory.
When? We 12:15-13:45pm in H2.
If you plan to do a master thesis on a topic related to this lecture course, then please contact me as early as possible.
Literature: I'll use my book From Categories to Homotopy Theory for this course. Other sources are for instance:
  • Francis Borceux, Handbook of categorical algebra 1 and 2, Basic category theory. Encyclopedia of Mathematics and its Applications, 50 and 51, Cambridge University Press, Cambridge, 1994.
  • Saunders Mac Lane, Categories for the working mathematician, Second edition. Graduate Texts in Mathematics, 5. Springer-Verlag, New York, 1998.
  • Emily Riehl, Category Theory in Context, Dover Publications, 2016.
Exam: The final exam for this course is an oral exam after the end of term.