- Monday 12:00-13:00, Alan Turing Building G.205
- Tuesday 13:00-15:00, Alan Turing Building G.205/G.207

### Background material

### Course topics

#### 1. Topological Equivalence

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?

#### 2. Topological Spaces

Which data determines the topology of a subset of Euclidean space? How to generalise the idea of topological equivalence?

#### 3. Constructing New Spaces: Subspaces and Product Spaces

How to construct new topological spaces out of existing ones?

### Weekly in-class exercises

Week 2,

Week 3,

Week 4,

### 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

The coursework is a take-home test. Starting from week 5 you will find the questions in the following PDF document.

2019 Coursework paper
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 handed in at the Reception of the Teaching and Learning Office before 13:00 on Friday 22 March. The weighting of the coursework will be 20% of the final mark.

#### Examination

The format of the exam paper will be the same as in the last year, but different from previous years. There will be one section with six mandatory questions.

Solving the homework exercises is meant as an effective preparation for the exam. You might also have a look at the past papers below.

Past papers + feedback: 2016/17,
2017/18

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#### Adresse:

School of Mathematics

The University of Manchester

Alan Turing Building

Oxford Road

Manchester M13 9PL

#### Raum:

1.106a

#### Erreichbar unter:

Telefon: +44 161 275 5818

Email:

hendrik.suess@manchester.ac.uk

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