MTG 6347 Topology 2 (Sections 7558)

Instructor: Yuli Rudyak

Internet: http://www.math.ufl.edu/~rudyak/teaching/TOP/main.html


  • Prerequisites: Calculus III, Linear Algebra, Elements of Topology

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  • Time and Room: MWF 7 (1:55 p.m - 2:45 p.m.)

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  • Final Exam Time and Room: Not settled .

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  • Literature:
    A. Hatcher, Algebraic Topogy, Cambridge University Press, 2002.
     
  • Office Hours: T5 (12:45 p.m - 1:40 p.m.), W7 (3:00 p.m - 3:50 p.m.), LIT 436, or by appointment. The students are also welcome to call me or use e-mail: rudyak@ufl.edu for communication. For more details, see my schedule.

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  • Description of the Course:
    • This is in an introduction to algebraic topology. The contents of the course includes the following:
    Fundamental group and covering spaces. Chain homology. Singular and symplicial homology. Homotopy invariance.
    Axioms for homology. Equivalnce of homology thiories. Homology groups of certain spaces.
    Applications: Brower fix point theorem. Jordan domain invariance theorem.
    Cohomology. Multiplicativity. Cup- and cap-products.
    Applications: Borsuk-Ulam theorem, Lusternik-Schnirelmann category. Poincare duality.


     

  • To get the credit, a student must collect points from homework assignments, presentation(s) and the final exam. (The point system will be discussed in the beginning of the semester.)

    The resulting score determines the letter grade according to the following table:
     
    Letter Grade  A  B+  B  C+  C  D+  D  E 
    Score   50>>41  40>>36  35>>31  30>26 25>>22 21>>20 19>>15 14>>0 

     

  • To see homework assignments click here.

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  • To see the list of talks click here.

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  • To see the Snake Lemma click here.

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    This page was last modified by Yuli Rudyak, Januar 11, 2012.