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Dec 14, 2025
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University General Course Catalog 2020-2021 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.
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MATH 743 - Homotopy Theory (3 units)
Introduction to the basic techniques of homotopy theory, with applications to topology and geometry. Properties and computations involving higher homotopy groups; the general theory of fibrations and fiber bundles.
Maximum units a student may earn: 3
Prerequisite(s): MATH 731; MATH 741. Corequisite(s): MATH 742.
Grading Basis: Graded
Units of Lecture: 3 units: 150-minutes per week X 15 weeks
Offered: Every Spring - Odd Years
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. perform basic computations of homotopy groups via the Homotopy Excision Theorem.
2. compute homotopy groups via the long exact sequence associated to a Serre fibration.
3. characterize obstructions to lifting and extension problems in topology via Postnikov towers and obstruction classes.
Click here for course scheduling information. | Check course textbook information
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