discipline 
Mathematics

subject 
Differential
topology 2

lecturers 
András Szűcs 
credits 
2 
period 
second semester 
curriculum 
Universal vector bundle, K theory, G bundles, universal Gbundle, Hopf theorem: [X, K(p,n)] = H^{n}(X;p) Obstruction theory, Immersion theory, Hirsch theorem (Using the compression theorem) Whitney – Graustein theorem (Whitney’s proof, Thurston’s proof) Immersions of surfaces in R^{3}. Embedding of M^{n }in R^{2n}. The role of the Whitney trick in topology, hcobordism theorem, proof and applications, Generalized Poincare conjecture and its corollaries Smale theorem, Gromov theorem. 
literature 

form of tuition 
Lectures 
mode of assessment 
oral exam 