MATH 4565: Topology
Lecture - 4 credits
- Introduces the student to fundamental notions of topology.
- Introduces basic set theory, then covers the foundations of general topology (axioms for a topological space, continuous functions, homeomorphisms, metric spaces, the subspace, product and quotient topologies, connectedness, compactness, and the Hausdorff condition).
- Also introduces algebraic and geometric topology (homotopy, covering spaces, fundamental groups, graphs, surfaces, and manifolds) and applications.
- Other topics are covered if time permits.
Introduces the student to fundamental notions of topology. Show more.