MATH 741 - Topology

(3 units)

Topological structures, uniform spaces, metric spaces, compact and locally compact spaces, connectivity, function spaces, topological algebra, elementary homological algebra, singular homology theory, cell complexes, homotopy groups.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Fall - Even Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. compute the homology of a space defined by a simplicial complex.
2. use homotopy groups or homology groups to demonstrate that spaces are not homeomorphic to one another.
3. apply homological algebraic arguments to prove results about continuous maps between spaces.

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