Fall 2025 Graduate Catalog
|
MAT 528 - Foundations of Topology
Rigorous foundations of point set topology: topological spaces, continuous maps. Metric spaces. Connectedness, compactness, countability and separation axioms. Product topology, quotient topology. Introduction to algebraic topology: fundamental group, the notion of a covering space, van Kampen theorem, computations and applications. The course provides foundations for graduate study in topology, geometry, and analysis.
Note: This course was previously known as MAT 530 and is not to be repeated for additional credit.
3 credits
Grading Letter graded (A, A-, B+, etc.)
|