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Apr 19, 2024
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MATH 6700 - Point Set Topology General topological spaces, product and quotient spaces, convergence, separation, countability properties, compactness and paracompactness, connectivity, metric spaces, completion, metrization, completely regular spaces, uniform spaces.
Requisites: MATH 5302 or 5700 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: - Apply the notions of compactness and connectedness to problems arising in other areas of mathematics.
- Distinguish between homeomorphic and non-homeomorphic spaces.
- Recognize topological structures appearing in Analysis.
- Understand the topological component of classical theorems of Analysis.
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