University General Course Catalog 2018-2019 
    
    Mar 28, 2024  
University General Course Catalog 2018-2019 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.

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MATH 641 - Intro Algebraic Topology

(3 units)
Topological spaces, functors, homotopy, the fundamental group, covering spaces, higher homotopy groups, simplicial complexes, homology theories.

Units of Lecture: 3
Offered: Every Fall - Even Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate understanding of covering spaces for a topological space through proofs and examples.
2. use functorial properties of homotopy groups to convert topological problems to algebraic ones, in order to solve them.
3. compute or describe the fundamental group of a topological space by applying the Seifert-van Kampen theorem.


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