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PMATH 667

Algebraic Topology

Graduate

Winter 2023

Topics

  • we will cover the following topics. The classification of compact 2-dimensional manifolds (informal).
  • Chapter 0: Preliminaries
  • Chapter 1, Sections 1.1, 1.2, 1.3: The Fundamental Group
  • Chapter 2, Section 2.1 and perhaps 2.2: Homology and the Mayer-Vietoris Sequence

Readings

  • Algebraic Topology
    Allen Hatcher · required
    Available from the author’s website: https://pi.math.cornell.edu/~hatcher/
Sources