401-3002-12L Algebraic Topology II
| Semester | Spring Semester 2020 |
| Lecturers | A. Sisto |
| Periodicity | yearly recurring course |
| Language of instruction | English |
Courses
| Number | Title | Hours | Lecturers | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 401-3002-12 G | Algebraic Topology II | 4 hrs |
| A. Sisto |
Catalogue data
| 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. |
| Learning objective | |
| Literature | 1) A. Hatcher, "Algebraic topology", Cambridge University Press, Cambridge, 2002. The book can be downloaded for free at: http://www.math.cornell.edu/~hatcher/AT/ATpage.html 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
| Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
| ECTS credits | 8 credits |
| Examiners | A. Sisto |
| Type | session examination |
| 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. | |
Learning materials
| Main link | Information |
| Only public learning materials are listed. | |
Groups
| No information on groups available. |
Restrictions
| There are no additional restrictions for the registration. |
Offered in
| Programme | Section | Type | |
|---|---|---|---|
| Doctoral Department of Mathematics | Graduate School | W |  |
| Mathematics Bachelor | Core Courses: Pure Mathematics | W | |
| Mathematics Master | Core Courses: Pure Mathematics | W | |