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Introduction to Topology

820

General topology. Set theory; topological spaces; connected sets; continuous functions; generalized convergence; product and quotient spaces; embedding in cubes; metric spaces and metrization; compact spaces; function spaces.

Text: 

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Prerequisite: 
Credit Hours: 
3

OUTLINE

  1. Set Theory and Metric Spaces
  2. Topological Spaces
  3. New Spaces from old-subspaces, product spaces and quotient spaces
  4. Convergence - nets and filters
  5. Separation Axioms and countability
  6. Compactness - Tychonov theorem, compactification, paracompactness
  7. Metrizable Spaces
  8. Connectedness

(Porter 2011 )

Frequency: 
Odd Fall Semesters Only

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Using Math

Nicole Johnson found a way to express her baton twirling using math.  See video.