Math majors and graduate students in related areas
This course is an undergraduate introduction to algebraic topology. Emphasis is placed on geometric aspects.
- Fundamental group and applications: classification of closed 2-manifolds, elementary homotopy theory, the fundamental group of the circle, covering spaces
- Simplicial homology: simplexes, triangulation, homology groups, Euler characteristic, simplicial approximation
- Selected topics: fixed point theorems, singular homology, knot theory, group actions