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Nov 25, 2024
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MATH 441 - Intro Algebraic Topology (3 units)
Topological spaces, functors, homotopy, the fundamental group, covering spaces, higher homotopy groups, simplicial complexes, homology theories.
Prerequisite(s): MATH 440 . Corequisite(s): MATH 331 .
Units of Lecture: 3
Offered: Every Fall - Even Years
Student Learning Outcomes:
Upon completion of this course:
1. Students will be able to demonstrate understanding of covering spaces for a topological space through proofs and examples.
2. Students will be able to use functorial properties of homotopy groups to convert topological problems to algebraic ones, in order to solve them.
3. Students will be able to compute or describe the fundamental group of a topological space by applying the Seifert-van Kampen theorem.
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