401-3002-12L Algebraic Topology II
Semester | Spring Semester 2017 |
Lecturers | P. S. Jossen |
Periodicity | yearly recurring course |
Language of instruction | English |
Courses
Number | Title | Hours | Lecturers | |||||||
---|---|---|---|---|---|---|---|---|---|---|
401-3002-12 G | Algebraic Topology II | 4 hrs |
| P. S. Jossen |
Catalogue data
Abstract | This is a continuation course to Algebraic Topology I. The course will cover more advanced topics in algebraic topology such as: products, duality, cohomology operations, characteristic classes, spectral sequences etc. |
Objective | |
Literature | 1) A. Hatcher, "Algebraic topology", Cambridge University Press, Cambridge, 2002. Book can be downloaded for free at: Link See also: Link 2) E. Spanier, "Algebraic topology", Springer-Verlag 3) G. Bredon, "Topology and geometry", Graduate Texts in Mathematics, 139. Springer-Verlag, 1997. 4) R. Bott & L. Tu, "Differential forms in algebraic topology", Graduate Texts in Mathematics, 82. Springer-Verlag, 1982. 5) J. Milnor & J. Stasheff, "Characteristic classes", Annals of Mathematics Studies, No. 76. Princeton University Press, 1974. |
Prerequisites / Notice | General topology, linear algebra. Basic knowledge of singular homolgoy and cohomology 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 | P. S. Jossen |
Type | session examination |
Language of examination | English |
Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
Mode of examination | oral 30 minutes |
Additional information on mode of examination | 30 Minuten Vorbereitungszeit und 30 Minuten Prüfung (ein Kandidat bereitet vor, während der andere geprüft wird) |
This information can be updated until the beginning of the semester; information on the examination timetable is binding. |
Learning materials
No public learning materials available. | |
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 |