401-3002-12L Algebraic Topology II
|Semester||Spring Semester 2020|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|Abstract||This is a continuation course to Algebraic Topology I. The course will cover more advanced topics in algebraic topology including:|
cohomology of spaces, operations in homology and cohomology, duality.
|Literature||1) A. Hatcher, "Algebraic topology",|
Cambridge University Press, Cambridge, 2002.
The book can be downloaded for free at:
2) G. Bredon, "Topology and geometry",
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.
3) E. Spanier, "Algebraic topology", Springer-Verlag
|Prerequisites / Notice||General topology, linear algebra, singular homology of topological spaces (e.g. as taught in "Algebraic topology I").|
Some knowledge of differential geometry and differential topology
is useful but not absolutely necessary.