discipline

Mathematics

subject

Algebraic topology 3

lecturers

András Szűcs

credits

2

period

first semester

curriculum

Definition of pn (X), homotopy exact sequence of a pair,

Serre fibration and it homotopy exact sequence,

Whitehead theorem, CW approximation,

Freudenthal theorem, simplicial approximation,

Homotopy excision theorem, generalized Freudenthal theorem,

Chaincomplexes and homologies,

Topological homology theories,

The w homologies coincide with the singular ones,

Hurewicz theorem,

Homological Whitehead theorem,

Extraordinary homology theories,

Bordisms, stable homotopy groups

literature

 

form of tuition

Lectures

mode of assessment

oral exam