• Due Jan. 28:
  sec. 46 # 7, 8; sec. 51 # 1, 2
  In the first edition, these are sec. 7-5 # 4, 5 and sec. 8-1 # 1, 4
• Due Feb. 4:
  sec. 52 # 2, 3, 6
  In the first edition, these are sec. 8-2 # ??, 2, and 5
• Due Feb. 11:
  sec. 53 # 3, 4; sec. 54 # 5, 6, 7
  In the first edition, these are sec. 8-3 # 5, 6(a) and 8-4 # 9, 5, ??
• Due Feb. 18:
  sec. 54 # 8
  Also: Prove that the fundamental group of X x Y is isomorphic to the direct product of the fundamental groups of X and of Y. Use basepoints x₀, y₀, and (x₀, y₀).
  Also: Prove that the map "r" from D² to S¹ in the proof of the Brouwer fixed point theorem is continuous. Hint: Let X be the subspace of D² x D² consisting of distinct pairs of points, and consider a map analogous to r from X to S¹. Prove that this latter map is continuous.
• Due Feb. 25:
  sec. 58 # 2, 3, 9; Hatcher sec. 1.1 # 11, 13
  The first edition doesn't have these, except for #2 which is sec. 8-5 # 5.
• Due Mar. 27:
  Hatcher sec. 1.2 # 2, 3, 8, 10; Munkres sec. 73 # 1
• Due Apr. 8:
  Hatcher sec. 1.2 # 6, 14; Hatcher sec. 1.3 # 4, 9
• Due May 1:
  sec. 79 # 3,4; sec. 81 # 2; Hatcher sec. 1.3 # 10, sec. 1.A # 3

Back to course page