MTH 628 Algebraic Topology
Class times: Tue Th 9:30-10:50 Math Building 122


Bernard Badzioch
Office: 108 Mathematics Building
Office Hours: Mon 2:00-4:00


I will assume you are familiar with the following material:

  • Topology: basic general topology, CW-complexes, homotopy and homotopy equivalence, the fundamental group of a space.
  • Algebra: groups (including free abelian groups), rings, modules
  • Category theory: notions of a category and a functor.


There is no required text for this course, but here are a few books that may be useful:

  • A. Hatcher, Algebraic Topology (Note: this book can be downloaded for free from Allen Hatcher’s website).
  • G. E. Bredon, Topology and Geometry.
  • M. Greenberg, J. Harper, Algebraic Topology: A First Course.


Homework problems will be asssigned on Thursdays every other week and will be due on Thursday the following week. All homework assignmnets must be typed using LaTeX.


  • The midterm exam will be given on Thursday, March 16.
  • The final exam will be given on Thursday, May 18 at 8:00-11:00 AM in Math Building 122 (i.e. our regular classroom).


  • Homework 40%
  • Midterm Exam 25%
  • Final Exam 35%