1. Introduction (12/10/2020).
  2. Paths and Homotopies (19/10/2020).
  3. Path and Homotopy Lifting (26/10/2020).
  4. Functoriality and Applications (2/11/2020).
  5. Free Groups (9/11/2020).
  6. Map Lifting and Classification of Covers (16/11/2020).
  7. Galois Theory of Covering Spaces (23/11/2020).
  8. Free Products and the Seifert-Van Kampen theorem (7/12/2020).
  9. Graphs and Two-Complexes (14/12/2020).
  10. CW-Complexes and Higher Homotopy Groups (21/12/2020).
  11. Whitehead Theory (28/12/2020).
  12. Simplicial Complexes and Homology (11/1/2021).

Assignments

Assignments will be posted roughly once in two weeks.

  1. Introduction due by Monday, Oct 12, 2020.
  2. Paths and Homotopies due by Monday, Oct 19, 2020.
  3. Path and Homotopy Lifting due by Monday, Oct 26, 2020.
  4. Functoriality and Applications due by Monday, Nov 2, 2020.
  5. Free Groups due by Monday, Nov 9, 2020.
  6. Map Lifting and Classification of Covers due by Monday, Nov 16, 2020.
  7. Galois Theory of Covering Spaces due by Monday, Nov 23, 2020.
  8. Free Products and the Seifert-Van Kampen theorem due by Monday, Dec 7, 2020.
  9. Graphs and Two-Complexes due by Monday, Dec 14, 2020.
  10. CW-Complexes and Higher Homotopy Groups due by Monday, Dec 21, 2020.
  11. Whitehead Theory due by Monday, Dec 28, 2020.
  12. Simplicial Complexes and Homology due by Monday, Jan 11, 2021.