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Apr 19, 2024
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MATH 640 - Topology (3 units)
General topological spaces, continuity, compact and locally compact spaces, connectedness, path connectedness, product and quotient topologies, countability and separation axioms, metric spaces.
Units of Lecture: 3
Offered: Every Spring
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate an understanding of topological spaces and continuous functions through proofs and examples.?
2. analyze topological properties such as compactness, connectedness and path-connectedness, and prove their consequences including the Extreme Value and Intermediate Value Theorem from Calculus.?
3. analyze continuity or discontinuity of functions defined on a quotient space.
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