Modulets indhold, forløb og pædagogik

Læringsmål

Viden

• know central notions and results from algebraic topology (notably concerning homotopy and homology)
• know important topological invariants of spaces and maps (among those fundamental groups, homology groups and induced homomorphism) and their invariance under homotopies
• have acquired insight into systematic functorial methods translating from geometric areas into combinatorial and algebraic areas

Færdigheder

• are able to apply and to explain notions and methods for simple examples, notably by calculation of relevant invariants
• are able to reason in correct scientific terminology and symbolic language concerning topics within algebraic topology

Kompetencer

• can apply algebraic notions, methods and results to dealing with problems originating in geometry
• can independently formulate relevant questions and acquire new insights with point of departure in interactions of algebra and geometry 

Undervisningsform

Forelæsninger med tilhørende opgaveregning.

Omfang og forventet arbejdsindsats

Kursusmodulets omfang er 5 ECTS svarende til 150 timers studieindsats.

Eksamen

Prøver