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Introduction to Topology


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.


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Credit Hours: 


  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 )

Odd Fall Semesters Only

Events Calendar

Using Math

CTE course transformation grant helps Emily Witt, assistant professor of math, develop active learning with student groups in calculus.  Positive results using modules developed with Justin Lyle and Amanda Wilkens, math graduate students, were attained.  Read more

Math and COVID-19: Sources on how math is being used to track the virus and its spread.  AMS link.

A mathematician-musician's breakthrough melds East, West. Read more.

Researcher's innovative approach to flood mapping support emergency management and water officials. Read more.

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