MATH 6540
Last Updated
- Schedule of Classes - January 31, 2019 7:14PM EST
- Course Catalog - January 31, 2019 7:15PM EST
Classes
MATH 6540
Course Description
Course information provided by the Courses of Study 2018-2019.
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 Fall.
Prerequisites/Corequisites Prerequisite: MATH 6510 or permission of instructor.
Regular Academic Session.
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Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)
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Class Number & Section Details
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Meeting Pattern
- TR Malott Hall 205
Instructors
Zakharevich, I
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Additional Information
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.