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**Lecture Notes **

Handwritten notes are available for registeted students to download here below. If you do not see them, click on the button above (Protected Download on My) and log in with your My account.

**Exercises and Solutions**

New exercise sheets will be posted here every *Wednesday afternoon*. The sheet is due the following *Tuesday midday *(12:00).

*To submit your Homeworks*, either upload them electronically on My, or if you want to submit a paper copy, upload an empty page to My (required for record) and submit a paper copy either bringing it to class on Monday or leaving it in the Assistants pigeon hole (floor K, on top of the mailing boxes).

*Solutions* to selected problems will be also posted here. Solutions to the other problems will be discussed during tutorial classes.

**Online Extra Resources:**

Some nice videos online:

- A proof of the Euler characteristic of sphere triangulations using dual graphs (video by Youtuber 3Blue1Brown)
- From a octagon to a double torus (short animation)
- From a 40-gon to a surface of g=10 (short animatin)
- Compactify/identifying the boundary of a disk to get a sphere (short animation)
- A visual proof that the projective plane contains a Moebius band (a visual solution to one of the Homeworks exercises!), online lecture with animations and 3D models;
- Video on the classification of surfaces statement showing connected sums visually, online lecture with animations and 3D models;

**References:**

For General Topology:

- Stefan Waldmann, Topology: an Introduction, Springer
- Martin Crossley, Essential Topology, Springer
- Czes Kosniowsky, A first course in algebraic topology, Cambridge University press

For surfaces and their classification:

- Chapter 1 of William Massery, Algebraic Topology: An introduction, Springer
- Christine Kinsey, Topology of Surfaces, Springer (pdf)

An *extended Syllabus* is available for download under the* Downloads* Tab.

**Further infos:**

See the Download Tab for notes (registered students only) and exercises and solutions (posted weekly).

* Testat: *To be admitted to the exam, you need to submit 60% '

* Recordings:* recordings are available to registered users from the UZH Swich system, under the Channel 'MAT701 Elements of Topology, HS 2022. To subscribe to the channel, click here.

Date:

Module: 02.02.2023 9:00-12:00, Room: Y24G45 Seats: 446, Type: written exam

The exam is written and will take place with closed books.

No cheat sheet is allowed.

The exam will consist mostly of exercises to solve (in the spirit of Homework problems), but theory questions concerning fundamental definitions and results will also be included.

During the exam, it will be possible to ask to have any of these definitions/results written down (of course loosing the points for the part of the question concerning the theory) in order to solve the rest of the exercise.

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