Materials

Course notes

The course will follow the notes written by Markus Szymik in 2016.

The full notes for this class can be found here.

Please be aware that many details will be covered in lectures that will not necessarily be written in full in these notes, therefore it is recommended that you attend lectures and take notes. You will be examined on your understanding and ability to apply to problems the content of the lectures.

Here is a nice set of notes by Emily Riehl covering the universal properties and construction of new topological spaces that we learnt about in Chapter II http://www.math.jhu.edu/~eriehl/topologies.pdf

Problems

There is no designated problems session each week, we will take breaks in class to work on and discuss exercises related to the content we have recently covered. I will post additional problems in the Exercises sheet, which will be updated each lecture, for study out-with class. There will be the option to hand in one question a week for feedback, this is detailed in the Exercises sheet.

I will not type up solutions to exercises: those that attend classes will receive solutions to the exercises we do in class, otherwise you may attend my office hours to work through a solution, or ask for help if you are stuck on a problem.

Textbook

The official course text is

  • J.R. Munkres. Topology. 2nd ed. Prentice Hall, 2000

however the course notes should be your first source of reference.