401-3001-61L Algebraic Topology I
|Semester||Autumn Semester 2018|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|Abstract||This is an introductory course in algebraic topology. Topics covered include:|
singular homology, cell complexes and cellular homology, the Eilenberg-Steenrod axioms, cohomology. Along the way we will introduce the basics of homological algebra and category theory.
|Literature||1) G. Bredon, "Topology and geometry",|
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.
2) A. Hatcher, "Algebraic topology",
Cambridge University Press, Cambridge, 2002.
Book can be downloaded for free at:
3) E. Spanier, "Algebraic topology", Springer-Verlag
|Prerequisites / Notice||You should know the basics of point-set topology.|
Useful to have (though not absolutely necessary) basic knowledge of the fundamental group and covering spaces (at the level usually covered in the course "topology").
Some knowledge of differential geometry and differential topology is useful but not absolutely necessary.
Some (elementary) group theory and algebra will also be needed.