Math 426: Introduction to Topology

Course Information

Instructor

The instructor for the course is me, Ben Williams

Description

This is an undergraduate introduction to topology, the aim of which is to introduce topological spaces, continuous functions, the fundamental group and covering spaces.

Meeting

Because of the measures put in place by UBC to cope with the current COVID-19 public health crisis, the class meets entirely online. A Zoom link will be made available to registered students.

Notes

This course does not have a set textbook. Instead, course notes are available. These notes will be updated as the term progresses.

Other references

For a number of years, this course had Topology, 2nd Edition by Munkres as a textbook. It covers a lot of what this course will cover.

Other 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:

A copy of the pdf class outline may be found here.

Assessment

Homework

Homework will assigned every week and will be due by email to tbjw@math.ubc.ca every Friday by 5pm, starting on 18 September. Submission in the form of a PDF produced using LaTeX is strongly encouraged.
Here is the take-home final exam. Instructions are to be found in the pdf itself. Please contact me in the event of any confusion.

Grade

Grades will be composed of 70% homework score and 30% final exam score.

Homework

Here is Homework 1. It was due on Friday 18 September at 5pm. Here are Solutions.

Here is Homework 2. After extension, it was due on Monday 28 September at 5pm. Here are Solutions.

Here is Homework 3. It was due on Friday 2 October at 5pm. Here are Solutions.

Here is Homework 4. It was due on Friday 9 October at 5pm. Here are Solutions.

Here is Homework 5. It was due on Friday 16 October at 5pm. Here are Solutions.

Here is Homework 6. It was due on Friday 23 October at 5pm. Here are Solutions.

Here is Homework 7. It was due on Friday 30 October at 5pm. Here are Solutions.

Here is Homework 8. It was due on Friday 6 November at 5pm. Here are Solutions.

Here is Homework 9. After extension, it was due on Friday 20 November at 5pm. Here are Solutions.

Here is Homework 10. After extension, it was due on Monday, 23 November at 5pm. Here are Solutions.

Here is Homework 11. It was due on Friday, 27 November at 5pm. Here are Solutions.

Here is Homework 12. It was due on Friday, 4 December at 5pm. Here are Solutions.