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Course Description

 

This is a beginning course from the series of three courses Topology I—III. In the introductory course we will first overview basic notions on Metric spaces and then cover following topics:
 
  1. Basic notions of: Topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
  2. Gluing constructions.
  3. Homotopies between continuous maps, degree of a map, fundamental group.
  4. Seifert-van Kampen Theorem.
  5. Covering spaces.

 

Literature

 
  1. Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website 
  2. James R. Munkres: Topology, Prentice Hall 
  3. Marco Manetti : Topology, Springer
  4. Stefan Waldmann: Topology (An Introduction), Springer
  5. Klaus Jänich: Topologie, Springer-Verlag

 

 

Contact

 

ContactOffice Hours:
LecturePavle Blagojević  and  Moritz Firsching blagojevic(at)math.fu-berlin.de, firsching(at)math.fu-berlin.deWednesday after lectures
TutorialJonathan Kliemjonathan.kliem(at)fu-berlin.deMonday after tutorials

 

Lectures

Lectures

Wed14:15 - 15:45SR 031, Arnimallee 6
Fri12:00 - 13:30HS 001, Arnimallee 3

 

 

Tutorials and Problems

 

Tutorials
Mon12:15 - 13:45HS 001, Arnimallee 3

In the tutorial we will answer open questions and discuss exercise sheets.

There will be weekly exercise sheets. You do not have to submit them, but we strongly advise you to do the exercises, and maybe hand in some of them. The exercises are there to help you better understand the material presented on the lectures. We will check your solutions to give you feedback on them. This is a service for you, use it!

Course requirements are the following: (1) You must actively participate in the course. (2) You must present one solution in during the tutorial. (3) You must pass an exam at the end of the semester which alone will determine your grade.

Exercise Sheets

Exam

You can do the exam either written or oral. If you want to do oral exam, you must set up a date before the written exam. Please allow enough time for that. If you do not have a date for the oral exam, you will take the written exam by default. Your second attempt will be in the same mode as your first attempt. E.g. if you fail the written exam at the first try, you must pass the second written exam in order to pass the class.

The written exam will take place Tuesday, February 20th, at 2pm (Takustr. 9, HS 028 (great auditorium)).
The second attempt exam will take place Wednesday, April 11th, at 10 am (Arnimallee 3, HS 1).
If you passed the first exam, you can have a second attempt and the better grade will count.

Please do not forget your student ID (and something to write) for the exam. We will not allow any notes for the exam. In the written exam you can give us some Tag under which the results will be published here (we will not publish results without tags).

Review: If you like, you can take a look at the exam on Monday, February 26th between 11 am and 12 pm (Arnimallee 2, Seminar room).

Those are the results from the written exam on Feb 20th. The grade is determined by setting 72 points for passing (4.0), 120 points for 1.0, and affine continuation. If you passed, your grade gets rounded down if necessary (so 1.9375 will result in a 1.7).

CodenameProblem12345678910TotalGrade

Maximum243618108108101010144
565656
243002000040604.75
7070
202573000959783.625
croutechick
163033000273644.5
5154559
2430144130820863.125
Kridi
2436107172300902.875
Käsebrot
24281057721006992.3125
DDMM
1624020201000545.125
This was a triumph…
1626146790101071051.9375
t26
232916658880101131.4375
TOPOLOJESUS
16304200061010783.625
I’m making a note here, huge success!
223618100901010101250.6875
24.04.94
243125146650843.25
3#age-len
182552234850724
TAU
1828103050695843.25
1712
202700000400515.3125
Garrio
202364101800634.5625
4765508
22280101926100883

Those are the results from the written exam on April 11th. The grade is determined by setting 72 points for passing (4.0), 120 points for 1.0, and affine continuation. If you passed, your grade gets rounded down if necessary (so 1.9375 will result in a 1.7).

CodenameProblem1234567891011TotalGrade

Maximum12123618108810101010144
bumbum
662528060402594.8125
0625
41224821301050694.1875
Oblomov
092700010430445.75
5154965
4923102200605614.6875
croutechick
892542100675674.3125
10.07
81224202001004624.625
1234567
1212331062606991051.9375
RORE
09361402001071793.5625
Cicici
662460100702525.25
Wolle Petry
81235102208270863.125
4974263
01224061051070654.4375
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