Universität Wien

250009 VO Algebraic topology (2009S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Monday 02.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 03.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 04.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 05.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 09.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 10.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 11.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 16.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 17.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 18.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 19.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 23.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 24.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 25.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 26.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 30.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 31.03. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 01.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 02.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 20.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 21.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 22.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 23.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 27.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 28.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 29.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 30.04. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 04.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 05.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 06.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 07.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 11.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 12.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 13.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 14.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 18.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 19.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 20.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 25.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 26.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 27.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 28.05. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 03.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 04.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 08.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 09.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 10.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 15.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 16.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 17.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 18.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 22.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 23.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Wednesday 24.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Thursday 25.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Monday 29.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II
Tuesday 30.06. 11:10 - 11:55 Seminarraum 2A310 3.OG UZA II

Information

Aims, contents and method of the course

This introductory course will cover basic material from Algebraic Topology including the fundamental group, covering spaces and singular homology. We will also discuss numerous applications of these methods, eg. a proof of the fundamental theorem of algebra using the concept of fundamental group, a proof of Brouwer's fixed point theorem using homology theory, or a proof of the fact that subgroups of free groups are free which is based on results about covering projections. Further information: http://www.mat.univie.ac.at/~stefan/AT09.html

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

To become acquainted with basic methods in Algebraic Topology and their application.

Examination topics

Algebraic Topology studies topological spaces and continuous maps by associating algebraic objects (eg. groups, rings, or algebras) to spaces, and homomorphisms to continuous maps.

Reading list

[] A. Hatcher, Algebraic Topology, Cambridge University Press.
Frei erhältlich unter: http://www.math.cornell.edu/~hatcher/AT/ATpage.html
[] R. Stoecker und H. Zieschang, Algebraische Topologie. Eine Einfuehrung. B.G. Teubner, Stuttgart.

Association in the course directory

MGET

Last modified: Sa 02.04.2022 00:24