Universität Wien
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250091 VO Algebraic topology (2020W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

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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: Fr 12.05.2023 00:21