discipline

Mathematics

subject

Algebraic topology 4

lecturers

András Szűcs

credits

2

period

second semester

curriculum

Definition of the cohomology ring

Example: H*(M2)

The Tor and Ext funktors

Universal coefficient theorem for arbitrary functor.

Product formulae, Künneth theorem,

DeRham theorem,

The grad-div-rot cahincomplex on a 3-dimensional space,

Poincare duality for topological manifolds,

Thom construction, Thom class, Multiplicativity,

The dual of the produact = intersection,

The homology class represented by the preimage of a submanifold,

Cohomologies with compact support,

Alexander duality

literature

 

form of tuition

Lectures

mode of assessment

oral exam