Math 527 (427)

Course Information


The textbook for this course is Algebraic Topology by Hatcher.

Other books that cover some of the material of this course include


This is a graduate-level course in algebraic topology, the aim of which is to introduce
  • CW complexes
  • Homology
  • Cohomology


There will be 6 homework assignments and a final exam in this course. Each homework assignment will be due on a Friday.

Office hours are by appointment in MATX 1205.


Homework 1

Homework 1 is due in class on Monday 14 January.

Homework 2

Homework 2 is due in class on Monday 28 January.

Homework 3

Homework 3 is due in class on Monday 25 February.

Homework 4

Homework 4 is due in class on Wednesday 15 March.

Homework 5

Homework 5 is due in class on Wednesday 3 April.


Course Notes

Here are my LaTeX course notes: Notes. They are far from free of errors, so please tell me if you find any. There is an appendix on Category theory.

Notes from Math 426

Here are my notes from Math 426 last year: 426 Notes. These cover more point-set topology and less about covering spaces etc than was covered in Academic Year 2018-2019.