Downloads
Some content is protected. Please go to: MY > Lecture > MAT701 / Geometrie / Topologie I
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;
Details
References:
For General Topology:
For surfaces and their classification:
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% 'reasonable attempts' to the homework problems to be handed in (not 60% of credit points). Solutions do not need to be perfect nor fully correct, but you should show that you made a serious effort to work on the exercises that are marked as 'to be handed in'. You are welcome to discuss ideas in groups (do try first alone!). Each student should then write and submit his/her solutions independently. Homeworks can be submitted online (on My) or in paper copy (directly to the assistants).
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.
Download
Exam
Exam
Module: 02.02.2023 9:00-12:00, Room: Y24G45 Seats: 446, Type: written exam
Repetition: 07.09.2023 9:00-18:00, Room: Y27H26 Seats: 14, Type: oral 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.
