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 GEOG 242.

Office Hour

There is an office hour every Friday after I get back from class in MATX 1205.

Notes

This course does not have a set textbook. Instead, course notes are available. These notes may 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 can 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 19 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.

Midterm

Homework

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

Here is Homework 2. It was due on Monday 26 September at 11:59pm. Solutions are available.

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

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

Here is Homework 5. It was due on Monday 17 October at 11:59pm. Solutions are available.

Here is Homework 6. It was due on Monday 31 October at 11:59pm. Solutions are available.

Here is Homework 7. It was due on Monday 7 November at 11:59pm. Solutions are available.

Here is Homework 8. It was due on Monday 21 November at 11:59pm. Solutions are available.

Here is Homework 9. It was due on Monday 28 November at 11:59pm. Solutions are available.

Here is Homework 10. It was due on Wednesday 7 December at 11:59pm. Solutions are available.