MATH 215A
Algebraic Topology
Topics: fundamental group and covering spaces, basics of homotopy theory, homology and cohomology (simplicial, singular, cellular), products, introduction to topological manifolds, orientations, Poincare duality. NOTE: Undergraduates and Masters students who wish to enroll must fill out a Request for Review form: https://forms.gle/v5RojToYzmYxGvKc7 ; Your request will be reviewed by faculty and you'll be notified if you are granted permission to enroll.
Topics
- fundamental group and covering spaces
- basics of homotopy theory
- homology and cohomology (simplicial
- singular
- cellular)
- products
- introduction to topological manifolds
- orientations
- Poincare duality
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027