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