Richard Swanson

Personal Data

My Schedule and Office Hours for Spring 2008


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    MATH 224-05: Monday is not a class day. (Martin Luther King Day) 
  • MATH 224-05: Old Chapter Tests with Solutions (Stewart Text)
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Sample Test A Chapter 12 

  Sample Test A Chapter 13

    

    
Sample Test B Chapter 12 

  Sample Test B Chapter 13

    Sample Test A Chapter 14Sample Test A Chapter 15
  
    Sample Test B Chapter 14 Sample Test B Chapter 15 


    Sample Test A Chapter 16Sample Final A
    Sample Test B Chapter 16Sample Final B



    MATH 512: Comments on Exercises; Readings in Hatcher
    • Read 25-28 [H]. Friday (1/18) Start Van Kampen's Theorem. Start reading  [H] Section 1.2.

    1. [GH] Problem 3.7. The quotient space is a stack of shrinking circles - a cone or disc.  See  Proposition 1.6 [H] if the second hint is perplexing (it was at first to me).  In [GH], "s" is the path parameter and "t" seems to be the homotopy parameter. Keep these straight. 
    2.  [GH] 3.8. Make a cartoon sketch to see why this is a "cone". Recall X/A is the quotient space with 2 points distinct unless both in A. 
    3. [GH] 3.9. p and f are homotopy (equivalence) inverses. 
    4. [GH] 3.10. For each x in S^n, there is a UNIQUE great circle subarc (try n=2) from f(x)  to g(x) whose length varies continuously. 
    5. [GH] 3.11.  Arc components=Path components. 

  • Recent Preprints and Publications (PDF Files)


    The branch locus for one dimensional Pisot tiling spaces  (with Marcy Barge and Bev Diamond)
  • Rigidity in One-Dimensional Tiling Spaces (with Marcy Barge)
  • New techniques for classifying Williams solenoids(with Marcy Barge) Tokyo Journal of Mathematics
  • Invariants of weak equivalence in primitive matrices (Ergod. Thy. and Dynam. Sys. Jan. 2000, with Hans Volkmer) 


    
  
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