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Dec 26, 2024
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MATH 453 - Topology III (Put on reserve 9/16/19) Description: An introduction to point-set and algebraic topology. Topics may include metric spaces, topological spaces, homotopy theory, and the fundamental group. (Put on reserve 9/16/19, will go inactive 8/24/22)
Credits: (3)
Learner Outcomes: Upon successful completion of this course, the student will be able to:
- Classify topological spaces using topological invariants (e.g., fundamental group, homology group, Euler characteristic, knot polynomials)
- Prove results about classes of topological spaces based on the topological properties of the spaces
- Tie abstract topological concepts to concrete examples of topological spaces found in analysis.
- Determine whether certain topological properties are necessary or sufficient for other topological properties
Learner Outcomes Approval Date: 2/17/05
Anticipated Course Offering Terms and Locations:
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