MATH 6540

Last Updated

  • Schedule of Classes - March 12, 2025 7:24PM EDT
  • Course Catalog - March 12, 2025 7:07PM EDT

MATH 6540
Homotopy Theory

Course information provided by the Courses of Study 2024-2025.

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.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: MATH 6510 or permission of instructor.

View Enrollment Information

Syllabi: none

  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  • 17927 MATH 6540   LEC 001

  •  
    • MF
    • Jan 21 - May 6, 2025

    • Berest, Y

  • Instruction Mode: In Person