MATH 590
Introduction to Topology
Topics include metric spaces, topological spaces, continuous functions and homeomorphisms, separation axioms, quotient and product topology, compactness, and connectedness. We will also cover a bit of algebraic topology (e.g., fundamental groups) as time permits.
Topics
- metric spaces
- topological spaces
- continuous functions and homeomorphisms
- separation axioms
- quotient and product topology
- compactness
- and connectedness
Topics explicitly listed in official catalogue description
Prerequisites & course information
MATH 451. (3). (BS). May not be repeated for credit. Rackham credit requires additional work.
Sources
- Course catalogue ↗2026-2027
- Catalogue entry ↗
Catalogue variants
- Introduction to Topology · 3 · Graduate credit