The instructor for the course is me, Ben Williams

There is no official textbook for this course. Books that cover some of the material of this course include

- Topology, 2nd Edition by Munkres.
- General Topology by John L. Kelley
- Introduction to Topology by Burt Mendelson
- Algebraic Topology by Alan Hatcher. This book is freely available online. Chapter 1 covers the material on the fundamental group and covering spaces. It is quite advanced compared to Munkres.

The book Counterexamples in Topology by Lynn Steen and J. Arthur Steenbach is also relevant to the course and is often amusing.

This course involves some elementary category theory. Here are some references for that material:

- Conceptual Mathematics by F. Williams Lawvere and Stephen H. Schanuel.
- Selected chapters of Algebra by Serge Lang contain a gentle introduction to category theory. The emphasis there is on algebraic categories.
- The book Categories for the Working Mathematician by Saunders Mac Lane is a standard reference.

This is an introduction to topology, the aim of which is to introduce topological spaces, continuous functions, mapping spaces, the fundamental group and covering spaces. The emphasis is on preparing students to learn algebraic topology, and on the aspects of topology that might not be covered in a functional analysis course.

A midterm will be held in class provisionally on Wednesday 16 October.

Office hours are by appointment.

I will put typeset notes online before the material is covered in class.

Rough drafts of old course notes may be found here. The topics covered this year will be slightly different.

Homework 1 was due in class on Monday 16 September. Here are some Solutions.

Homework 2 is due in class on Monday 30 September.

Here are some notes on p-norms.