401-3002-12L Algebraic Topology II
|Semester||Spring Semester 2020|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|401-3002-12 G||Algebraic Topology II||4 hrs|
|Abstract||This is a continuation course to Algebraic Topology I. The course will cover more advanced topics in algebraic topology including:|
cohomology of spaces, operations in homology and cohomology, duality.
|Literature||1) A. Hatcher, "Algebraic topology",|
Cambridge University Press, Cambridge, 2002.
The book can be downloaded for free at:
2) G. Bredon, "Topology and geometry",
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.
3) E. Spanier, "Algebraic topology", Springer-Verlag
|Prerequisites / Notice||General topology, linear algebra, singular homology of topological spaces (e.g. as taught in "Algebraic topology I").|
Some knowledge of differential geometry and differential topology
is useful but not absolutely necessary.
|Performance assessment information (valid until the course unit is held again)|
|Performance assessment as a semester course|
|ECTS credits||8 credits|
|Language of examination||English|
|Repetition||The performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.|
|Mode of examination||oral 30 minutes|
|Additional information on mode of examination||Be aware that the exam for the Spring Semester 2020 course is only offered in the Summer 2020 Examination Session.|
30 minutes preparation and 30 minutes exam (one candidate prepares during the 30 minutes oral exam of the previous candidate).
|This information can be updated until the beginning of the semester; information on the examination timetable is binding.|
|Only public learning materials are listed.|
|No information on groups available.|
|There are no additional restrictions for the registration.|
|Doctoral Department of Mathematics||Graduate School||W|
|Mathematics Bachelor||Core Courses: Pure Mathematics||W|
|Mathematics Master||Core Courses: Pure Mathematics||W|