401-3001-61L Algebraic Topology I
|Semester||Autumn Semester 2019|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|401-3001-61 G||Algebraic Topology I||4 hrs|
|Abstract||This is an introductory course in algebraic topology, which is the study of algebraic invariants of topological spaces. Topics covered include:|
singular homology, cell complexes and cellular homology, the Eilenberg-Steenrod axioms.
|Literature||1) A. Hatcher, "Algebraic topology",|
Cambridge University Press, Cambridge, 2002.
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||You should know the basics of point-set topology.|
Useful to have (though not absolutely necessary) basic knowledge of the fundamental group and covering spaces (at the level covered in the course "topology").
Some knowledge of differential geometry and differential topology is useful but not strictly necessary.
Some (elementary) group theory and algebra will also be needed.
|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 offered every session. Repetition possible without re-enrolling for the course unit.|
|Mode of examination||written 180 minutes|
|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|