MATH 6540

Last Updated

  • Schedule of Classes - September 22, 2025 1:06PM EDT

MATH 6540
Homotopy Theory

Course information provided by the 2025-2026 Catalog.

This course is an introduction to some of the fundamentals of homotopy theory. Homotopy theory studies spaces up to homotopy equivalence, not just up to homeomorphism. This allows for a variety of algebraic techniques which are not available when working up to homeomorphism. This class studies the fundamentals and tools of homotopy theory past homology and cohomology. Topics may include computations of higher homotopy groups, simplicial sets, model categories, spectral sequences, and rational homotopy theory.


Prerequisites MATH 6510 or permission of instructor.

Last 4 Terms Offered 2025SP, 2022SP, 2018FA

View Enrollment Information

Syllabi: none

  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  7780 MATH 6540   LEC 001

  •  
    • MF
    • Jan 20 - May 5, 2026

    • Berest, Y

  • Instruction Mode: In Person