250187 VO Introduction to topology (2007W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Andreas Cap

Classes (iCal) - next class is marked with N

Tuesday 02.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 08.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 09.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 15.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 16.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 22.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 23.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 29.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 30.10. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 05.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 06.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 12.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 13.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 19.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 20.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 26.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 27.11. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 03.12. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 04.12. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 10.12. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 11.12. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 17.12. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 18.12. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 07.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 08.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 14.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 15.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 21.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 22.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 28.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Tuesday 29.01. 09:00 - 10:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum

Information

Aims, contents and method of the course

Convergence and continuity in R^n, topological concepts and results in Analysis; Topological spaces: basic definition, bases and sub-bases of
topologies; Continutiy of functions, nets and convergence; Construction of topologies: trace topology, initial topologies and the product topology, final topologies; Compactness, the theorems of Urysohn, Tietze, Tychonov, und Heine-Borel, notions related to compactness, connectedness; Metric spaces: completeness and
completion, Baire's theorem.

Assessment and permitted materials

Minimum requirements and assessment criteria

Knowledge of the basics of point set topology which are used in most parts of mathematics.

Examination topics

Reading list

Skriptum, erhältlich an der Fakultät für Mathematik oder unter http://www.mat.univie.ac.at/~cap/lectnotes.html

Association in the course directory

HAN

Last modified: Th 31.10.2024 00:15