Math 426: Introduction to Topology

Course Information

Instructor

The instructor for the course is me, Ben Williams

Description

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

Meeting

The class meets MWF at 12pm in SWNG 406.

Office Hour

There is an office hour every Friday at 1:30pm in MATX 1205.

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 submission on Canvas every Monday by 11:59pm, starting on 20 September. Submission in the form of a PDF produced using LaTeX is strongly encouraged.

Grade

Grades will be composed of 30% homework score, 20% midterm score and 50% final exam score.

Homework

Here is Homework 1. It was due on Monday 20 September at 11:59pm. Here are Solutions.

Here is Homework 2. It was due on Monday 27 September at 11:59pm. Here are Solutions.

Here is Homework 3. It was due on Monday 4 October at 11:59pm. Here are Solutions.

Here is Homework 4. It was due on Wednesday 13 October at 11:59pm, due to Thanksgiving. Here are Solutions.

Here is Homework 5. It was due on Wednesday 20 October at 11:59pm, due to the midterm. Here are Solutions.

The midterm was on Monday 18 October in class. Here are solutions to the questions that are not in the notes.

Here is Homework 6. After extension, it was due on 27 October at 11:59pm. Here are solutions.

Here is Homework 7. It was due on 3 November at 11:59pm. Homework will generally be due on Wednesdays from now on. Here are solutions.

Here is Homework 8. It was due on Wednesday 10 November at 11:59pm. Here are solutions.

Here is Homework 9. It was due on Friday 19 November at 11:59pm (later than usual owing to the reading break). Here are solutions.

Here is Homework 10. It was due on Wednesday, 24 November at 11:59pm. Here are solutions.

Here is Homework 11. It was due on Wednesday, 1 December at 11:59pm. Here are solutions.

Here is Homework 12. It is not to be submitted. Here are solutions.