discipline 
Mathematics

subject 
Algebraic
topology 4

lecturers 
András Szűcs 
credits 
2 
period 
second semester 
curriculum 
Definition of the cohomology ring Example: H^{*}(M^{2}) The Tor and Ext funktors Universal coefficient theorem for arbitrary functor. Product formulae, Künneth theorem, DeRham theorem, The graddivrot cahincomplex on a 3dimensional 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 