MATH 6540

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  • Schedule of Classes - February 12, 2019 8:29PM EST
  • Course Catalog - January 26, 2019 2:00PM EST

MATH 6540
Homotopy Theory

Course information provided by the 2018-2019 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/Corequisites Prerequisite: MATH 6510 or permission of instructor.

When Offered Fall.

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Syllabi: none

  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16571 MATH 6540   LEC 001

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  • Instruction Mode: In Person

    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. Prerequisite: MATH 6510 or permission of instructor.