MATH 453 - Topology III

Description:
An introduction to point-set and algebraic topology. Topics may include metric spaces, topological spaces, homotopy theory, and the fundamental group.

Credits: (3)

Learner Outcomes:
Upon successful completion of this course, the student will be able to:

Classify topological spaces using topological invariants (e.g., fundamental group, homology group, Euler characteristic, knot polynomials)
Prove results about classes of topological spaces based on the topological properties of the spaces
Tie abstract topological concepts to concrete examples of topological spaces found in analysis.
Determine whether certain topological properties are necessary or sufficient for other topological properties

Learner Outcomes Approval Date:
2/17/05