Algebraic Topology

Course Information:

Math 540: Algebraic Topology

Official Course Description:

Homology and cohomology of topological spaces. Simplicial and singular (co)homology, relative (co)homology, the Eilenberg-Steenrod axioms, the Universal Covering Theorem, basic homological algebra, the cohomology ring, Poincaré-Lefschetz duality, group cohomology, Cech cohomology.

Texts:

1. Munkres, James. (1984) Elements of Algebraic Topology.
2. Hatcher, Allen. (2002) Algebraic Topology. The author has made this text available online.
3. Greenberg, M.J. & Harper, J. (1981) Algebraic Topology: A First Course.

Professor Shelly HARVEY

Office: HBH 446

Lecture

Course Announcements:

• (17 Jan 2014) The Algebraic Topology course page is now online.