Math 426

Course Information


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

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:


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 copy of the pdf class outline may be found here.


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

Office Hours

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 and Supplemental Exercises

Homework 1

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

Homework 2

Homework 2 is due in class on Monday 30 September.


Additional notes on p-norms

Here are some notes on p-norms.