Topology
💬 Announcements
- Model solutions for the coursework problems
- The 📄 coursework paper is now available. You are encouraged to have a look at Manfred Lehn's valuable advice on how to work on problem assignments.
- Klein Bottle as a ✂ papercraft
Background material
Material organised by topics
Topological Equivalence [PDF]
What is Topology? When are two subsets of Euclidean space equivalent from the view point of topology? How to check that two subsets are or are not topologically equivalent?- Homework exercises, solutions will appear later at this place
- Quiz ✓
Topological Spaces [PDF]
Which data determines the topology of a subset of Euclidean space? How to generalise the idea of topological equivalence?- Homework exercises, solutions will appear later at this place
- Quiz ✓
Constructing New Spaces: Subspaces and Product Spaces [PDF]
How to construct new topological spaces out of existing ones?- Homework exercises, solutions will appear later at this place
- Quiz ✓
Constructing New Spaces: Quotient Spaces [PDF]
Is there a natural topology on the set of equivalence classes of a topological space?- Homework exercises, solutions will appear later at this place
- Quiz ✓
Hausdorff Spaces [PDF]
How to define the limit of a sequence in a topological space? How to ensure, that limit points are unique?- Homework exercises, solutions will appear later at this place
- Quiz ✓
Compactness [PDF]
How to generalise the Bolzano-Weierstraß Theorem to topological spaces?- Homework exercises, solutions will appear later at this place
- Quiz ✓
The Fundamental Group [PDF]
An algebraic invariant of topological spaces.- Homework exercises, solutions will appear later at this place
The Fundamental Group of the Circle and Applications [PDF]
- Homework exercises, solutions will appear later at this place
Weekly video lectures
All video lectures including the review sessions are also available on the video portal.
Weekly in-class exercises
...will appear soon at this place.Assessment and Feedback
Feedback
You will receive feedback on your understanding in this course- from the coursework
- during the tutorial
- from the online quizzes
- during my office hour, and
- via the generic feedback (and exam script viewing) on the final exam.
Coursework
Coursework paper 2021 [solutions] You are encouraged to have a look at Manfred Lehn's valuable advice on how to work on problem assignments. The solutions have to be submitted online before 13:00 on 16 April 2021. The weighting of the coursework will be 20% of the final mark.Examination
Solving the homework exercises is meant as an effective preparation for the exam. You might also have a look at the past papers below.