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 2-dimensional 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