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 EilenbergMacLane 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