C2.7 Category Theory (202324)
Topic outline


You are welcome to attempt these questions before the course starts as an introduction to some of the ideas involved, but your solutions will not be marked. For more details see the introduction to the book 'Basic Category Theory' by T. Leinster which is available online on arXiv.org at arXiv:1612.09375.

The relevant section in the lecture notes is Section 1. It covers the most basic definitions of a category, functors, natural transformations, equivalences. The problem sheet is now organised into sections (A, B, C) according to the new guidance. Section B of Sheet 1 should be turned in for marking.

The relevant material for this problem sheet is in Chapter 2 of the lecture notes. It covers topics such as adjoint functors and Yoneda's embedding, representable functors. Do not turn in, this sheet will not be marked; solutions will be provided later.

This problem sheet covers limits and colimits. The relevant part of the lecture notes is Chapter 3. Section B should be turned in for marking.

This problem sheet covers functors and limits/colimits, monads, and the BarrBeck Theorem. The relevant material is in Sections 4 and 5 of the lecture notes. Do not turn in, solutions will be provided later.