Universität Wien

250129 VO Algebraic Topology (2024S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
ON-SITE

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

Tuesday 05.03. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 06.03. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 13.03. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 19.03. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 20.03. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 10.04. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 17.04. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 24.04. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 30.04. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 08.05. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 14.05. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 15.05. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.05. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 22.05. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.05. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 29.05. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 04.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 05.06. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 11.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 12.06. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 18.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 19.06. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 25.06. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 26.06. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock

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

written or oral exam at the end of the semester

Minimum requirements and assessment criteria

-point-set topology including simple examples and constructions of topological spaces
-linear algebra concentrating on linear maps, their kernel and image, quotient spaces
-basic understanding of modules
-group theory

Examination topics

the entire content of the course including working with examples, and solving simple exercises related to the material

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

MGET

Last modified: Mo 04.03.2024 11:47