# Topology

### 💬 Announcements

- Welcome! Please use the links in the week planner above to access the live sessions via Zoom. You will have to sign into your university Zoom account in order to get access to the Zoom meeting.
- 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

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?

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

How to construct new topological spaces out of existing ones?

Is there a

*natural* topology on the set of equivalence classes of a topological space?

How to define the limit of a sequence in a topological space? How to ensure, that limit points are unique?

An

*algebraic* invariant of topological spaces.

### 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
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.

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

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#### address:

School of Mathematics

The University of Manchester

Alan Turing Building

Oxford Road

Manchester M13 9PL

#### room:

1.106a

#### contact:

Phone: +44 161 275 5818

email:

hendrik.suess@manchester.ac.uk