Jul 29, 2025  
OHIO University Graduate Catalog 2022-23 
    
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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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