discipline 
Mathematics

subject 
Algebraic
topology 6

lecturers 
András Szűcs 
credits 
2 
period 
fourth semester 
curriculum 
The method of killing spaces, Spectral sequences, Serre spectral sequence, The rank of the stable homotopy groups, Rank of the group Omegan, Cohomologies of the Eilenberg – MacLane spaces, Twisted homologies, cohomologies, Computing Pi4(S3) by Serre method, Serre’s theorems on the homotopy groups of spheres, Mod C theorems, Serre theorem on the double suspension, The cohomology ring of BSO with rational and Zp coefficient. Hopf algebra , The rank of homotopy groups, The oriented cobordism ring over Q, Irreducibile cobordism classes, the si characteristic classes, The cobordisms of maps The Pontrjagin Thom construction for singular maps. 
literature 

form of tuition 
Lectures 
mode of assessment 
oral exam 