Semester page for MAT4500 - Autumn 2025

Here are today's exam problems, and a suggested solution. Of course, no guarantee for 100% correctness (in case I mistyped somewhere).

Best,

Achim

This is just a small reminder to check studentweb for which exam location you have been assigned to. Apparently some people see conflicting information in mystudies, but studentweb has the correct, individualized location.

Remember to write your name on each sheet of paper and number them (they will be scanned).

The exam is on Monday 08.12. in two different locations. Make sure to check which location you are assigned to. It will take place 9:00-13:00 and there are no tools or notes allowed.

The course was based on the lecture notes here. For a precise syllabus of which sections were covered in the course, refer to the schedule.

Among others, we have learned about the following notions:

• Topologies and bases
• Product, subspace and quotient topologies
• Metric spaces
• Continuity
• Homeomorphisms and embeddings
...