MATH 4565 - Husker Northeastern

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.

MATH 4565: Topology

Spring 2023 Semester

Fall 2022 Semester