401-3002-12L Algebraic Topology II
|Semester||Spring Semester 2017|
|Lecturers||P. S. Jossen|
|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 such as: products, duality, cohomology operations, characteristic classes, spectral sequences etc.|
|Literature||1) A. Hatcher, "Algebraic topology",|
Cambridge University Press, Cambridge, 2002.
Book can be downloaded for free at:
2) E. Spanier, "Algebraic topology", Springer-Verlag
3) G. Bredon, "Topology and geometry",
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.
4) R. Bott & L. Tu, "Differential forms in algebraic topology",
Graduate Texts in Mathematics, 82. Springer-Verlag, 1982.
5) J. Milnor & J. Stasheff, "Characteristic classes",
Annals of Mathematics Studies, No. 76.
Princeton University Press, 1974.
|Prerequisites / Notice||General topology, linear algebra.|
Basic knowledge of singular homolgoy and cohomology 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.