Frequency:

Irregular.

Student Body:

Math majors and graduate students in related areas

Background and Goals:

This course is an undergraduate introduction to algebraic topology. Emphasis is placed on geometric aspects.

Alternatives:

N/A

Subsequent Courses:

N/A

Course Content:

- 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

credits:

3. (N-A)

semester:

InFrequent

prereqs:

MATH 551 and 541 or graduate or professional standing or member of the Pre-Masters Mathematics (Visiting International) Program