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250091 VO Algebraic topology (2020W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

website of the course:

https://vvertesi3.wixsite.com/website

Thursday 01.10. 11:30 - 13:00 Digital
Monday 05.10. 13:00 - 14:30 Digital
Thursday 08.10. 11:30 - 13:00 Digital
Monday 12.10. 13:00 - 14:30 Digital
Thursday 15.10. 11:30 - 13:00 Digital
Monday 19.10. 13:00 - 14:30 Digital
Thursday 22.10. 11:30 - 13:00 Digital
Thursday 29.10. 11:30 - 13:00 Digital
Thursday 05.11. 11:30 - 13:00 Digital
Monday 09.11. 13:00 - 14:30 Digital
Thursday 12.11. 11:30 - 13:00 Digital
Monday 16.11. 13:00 - 14:30 Digital
Thursday 19.11. 11:30 - 13:00 Digital
Monday 23.11. 13:00 - 14:30 Digital
Thursday 26.11. 11:30 - 13:00 Digital
Monday 30.11. 13:00 - 14:30 Digital
Thursday 03.12. 11:30 - 13:00 Digital
Monday 07.12. 13:00 - 14:30 Digital
Thursday 10.12. 11:30 - 13:00 Digital
Monday 14.12. 13:00 - 14:30 Digital
Thursday 17.12. 11:30 - 13:00 Digital
Thursday 07.01. 11:30 - 13:00 Digital
Monday 11.01. 13:00 - 14:30 Digital
Thursday 14.01. 11:30 - 13:00 Digital
Monday 18.01. 13:00 - 14:30 Digital
Thursday 21.01. 11:30 - 13:00 Digital
Monday 25.01. 13:00 - 14:30 Digital
Thursday 28.01. 11:30 - 13:00 Digital

Information

Aims, contents and method of the course

This is an introductory course in algebraic topology. We will begin by covering the basics of homotopy theory, fundamental groups and covering spaces. We then move on to homology theory from various perspectives. Finally, we will develop as much cohomology theory as possible before the end of the semester.

Assessment and permitted materials

Oral exam (in case that presence examination is not possible then: online exam)

Minimum requirements and assessment criteria

The only prerequisite for the course is a basic understanding of point set topology, linear algebra and group theory.

Examination topics

The contents of the course

Reading list

Main textbook:

-Hatcher: Algebraic Topology (available online at http://pi.math.cornell.edu/~hatcher/AT/ATpage.html )

other books:

Brendon: Topology and Geometry
Fomenko and Fuchs: Homotopical Topology
Dieck: Algebraic Topology

Association in the course directory

Last modified: Tu 16.03.2021 10:29