MATH 7321 — Topology 3
Course description Welcome to MATH 7321. This course is a continuation of Topology 2 (the Fundamental group, Homology and Cohomology) and introduces tools from homotopy theory such as homotopy groups and fibrations, as well as computational techniques like spectral sequences.
Syllabus: pdf
Topics:
Homotopy groups
Fibrations and fiber bundles
The theorems of Whitehead, Hurewicz and Freudenthal
Eilenberg-MacLane spaces and the representability of cohomology
Spectral sequences
Lectures:
Lecture 1 [01/09/2026] pdf: Course overview, homotopy groups