Algebraic Topology I
  
Notes 
    
  1. Introduction and homotopy and CW complexe
    1. CW complexe
    2. Homotopy
  2. The fundamental group and covering spaces
    1. The funamental group
    2. Simple computations
    3. Fundamental gropu of S^1
    4. Seifert-Van Kampen Theorem
    5. Covering spaces
  3. Homology Theory
    1. Singular homology
    2. Introduction to homological algebra
    3. Relative homology and excision
    4. Degree theory and cellular homology
    5. Homology with different coefficients
    6. Formalism
    7. Geometric interpretation of homology
  4. Cohomology
    1. Cohomology groups of a chain complex
    2. Cohomology of a space
    3. Products
  5. Poincare Duality
    1. Statement and Consequences
    2. Fundamental Classes of Manifolds
    3. Algebraic Limits and Proof of Duality