401-3002-12L  Algebraic Topology II

SemesterSpring Semester 2020
LecturersA. Sisto
Periodicityyearly recurring course
Language of instructionEnglish


401-3002-12 GAlgebraic Topology II4 hrs
Wed10:00-12:00ER SA TZ »
10:15-12:00ML E 12 »
Fri13:00-15:00ER SA TZ »
13:15-15:00HG G 3 »
A. Sisto

Catalogue data

AbstractThis 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.
Literature1) 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 / NoticeGeneral 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 credits8 credits
ExaminersA. Sisto
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examinationoral 30 minutes
Additional information on mode of examinationBe 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 linkInformation
Only public learning materials are listed.


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics MasterCore Courses: Pure MathematicsWInformation