Mar 28, 2024  
OHIO University Graduate Catalog 2022-23 
    
OHIO University Graduate Catalog 2022-23 [Archived Catalog]

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MATH 5700 - Introduction to Topology


Topology of Euclidean spaces and general metric spaces. Introduction to general topological spaces.

Requisites: MATH 5301
Credit Hours: 3
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:
  • Distinguish between homeomorphic and non-homeomorphic subsets of Euclidean spaces.
  • Formulate and prove generalizations of the Intermediate Value Theorem and the Extreme Value Theorem in the setting of metric spaces.
  • Provide classification of compact 2-manifolds.
  • Provide examples of convergent and divergent sequences in metric spaces.
  • Recognize certain compact groups, such as groups of rotations of Euclidean spaces.



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