Contact info
Info sheet


  • Our textbook is Algebraic Topology by Allen Hatcher. This is freely downloadable from Hatcher's web page.
  • Here are some suggestions for other books to look at.
    • J. R. Munkres, Elements of Algebraic Topology. Covers homology and cohomology very thoroughly.
    • E. H. Spanier, Algebraic Topology. One of the standard references in the field, but many people find it hard to read.
    • J. P. May, A Concise Course in Algebraic Topology. The topics and presentation are interesting, but at a fairly high level.
    • G. E. Bredon, Topology and Geometry. Nice book, has more on manifolds and less on homotopy theory, compared to Hatcher's book.


  • Sections 4.1, 4.2, 4.3.


  • Optional: some problems from Munkres (PDF)
  • Optional: Hatcher 4.1: 10, 16, 18, 19
  • Optional: Hatcher 4.2: 7, 8, 9, 26, 32, 33. Note that 8 and 9 go together, as do 32 and 33.