discipline 
Mathematics

subject 
Differential
topology 1

lecturers 
András Szűcs 
credits 
2 
period 
first semester 
curriculum 
Whitney thoerems on embeddings and immersions (the easy ones) Locally trivial fibrations and vector bundles Jet spaces, Linking coefficients, Hopf invariant, Jet transversality theorem, Morse theory, Crossing critical value, Nice Morse functions. Classification of closed 2dimensional surfaces by Morse theory, Pontrjain construction, Stable homotopy groups of spheres pis(n), for n = 0 and 1. Compression theorem EHP sequence 
literature 

form of tuition 
Lectures 
mode of assessment 
oral exam 