Summer Term 2018
Topology II
General Information
Lecturer
Assistant
Credit points
6 CP
First lecture
Monday, 09,04.2018
Appointments
Mondays, 10 am, seminar room 10
Content
The lecture treats topics from set-theoretical and algebraic topology which are important for
the applications. The planned content includes paracompact spaces, metrization theorems (Nagata-Smirnov), function spaces, Arzela-Ascoli
Theorem, Stone-Cech Compactification, the fundamental group and universal convering spaces.
Prerequisites
Analysis I, Analysis II. Topology I is recommended.
Office Hours
You can visit room 416 in builiding E 24 for questions about the organization or content of the
lecture at any time.
Exams
Criteria
Regular and successful participation in exercise groups; 50% of the achievable points from the exercise sheets; Passing of an oral exam
Type of exam
Oral exam
Examination date
To be agreed on with the lecturer at the end of the semester.
Tutorials service
Exercise groups
The exercises will be held by Sebastian Langendörfer. The exercise group will take place on thurdays,
12 o'clock in seminar room 1. As announced in the lecture, the exercise group will exceptionally take place on Wednesday, 9th of May in seminar
room 1 due to a holiday.
Exercise Sheets
The exercise sheets are only available in German.Sheet 1 Sheet 2 Sheet 3 Sheet 4Sheet 5Sheet 6Sheet 7Sheet 8Sheet 9Sheet 10Sheet 11
Material
Literature
The following books can also be found in the course reserve
- Querenburg, Mengentheoretische Topologie, Springer.
- Munkres, Topology. A First Course, Prentice Hall.
- Simmons, Topology and Modern Analysis, McGraw-Hill.
- Kelley, General Topology, van Nostrand.
- Runde, A Taste of Topology, Springer.
- Querenburg, Mengentheoretische Topologie, Springer.
- Munkres, Topology. A First Course, Prentice Hall.
- Simmons, Topology and Modern Analysis, McGraw-Hill.
- Kelley, General Topology, van Nostrand.
- Runde, A Taste of Topology, Springer.