Math 527 (427)

Course Information

Textbook

The textbook for this course is Algebraic Topology by Hatcher.

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

Description

This is a graduate course in algebraic topology, the aim of which is introduce homology and cohomology of topological spaces and the use of these invariants. We will also cover a great deal of homological algebra and some category theory. Here is a pdf course syllabus.

Office hours are by appointment in MATX 1203.

Homework

Homework 1

Homework 1 is due in class on Friday 25 September.

Homework 2

Homework 2 is due in class on Friday 9 October.

Homework 3

Homework 3 is due in class on Friday 23 October.

Homework 4

The Midterm is due before 5pm on Tuesday 10 November. You may not collaborate with anyone on this midterm, although you may discuss it with me. It will be weighted a little more heavily than the other homework when I assign grades.

Homework 5

The Homework 5 is due in class on Monday 23 November.

Homework 6

The Final is due before 5pm on Monday 14 December. This will be weighted a little more heavily than the other homework when I assign grades. Note: in an earlier version of this, question 3(d) was wrong. It has been fixed.

Exams

Midterm

A take-home midterm will take the place of the fourth homework assignment.

Final

A take-home final will take the place of the last homework assignment..