General Topology
MA366 Fall 2017: Northern Michigan University

Problem Set # 1

  • Section 1.1 Topological Spaces - Due Sept. 8 - 1.1,1.2,1.3,1.4,1.9
  • Problem Set # 2 : Due Sept. 20

  • Section 1.2 Bases - 1.10, 1.11, 1.12, 1.14, 1.16. 1.17
  • Section 1.3 Closed Sets -1.25, 1.26, 1.28, 1.31, 1.33. 1.34
  • [Solutions]
  • Problem Set # 3 : Due Oct. 4

  • Section 2.1 Interior & Closure - 2.1 (a)-(g), 2.2, 2.9, 2.10, 2.11
  • [Solutions]
  • Problem Set # 4 : Due Oct. 11

  • Section 2.2 Limit Points - 2.13 (a)-(g), 2.15, 2.19, 2.20, 2.21, 2.22
  • Section 2.3 Boundary - 2.24 (a)-(g), 2.26, 2.27, 2.28
  • Problem Set # 5 : Due Oct. 25

  • Section 3.1 Subspace Topology - 3.1, 3.2, 3.4, 3.5, 3.6 , 3.7, 3.10
  • Section 3.2 Product Topology - 3.12, 3.16, 3.18, 3.19, 3.20 , 3.22
  • Section 3.3 Quotient Topology - 3.24, 3.25, 3.26, 3.27, 3.30 , 3.33
  • Problem Set # 6 : Due Nov. 13

  • Connecting Connectedness
  • Problem Set # 7 : Due Nov. 17

  • Section 4.1 Homeomorphisms - 4.24 - 4.29, 4.32, 4.37
  • Problem Set # 8 : Due Dec. 8

  • Chapter 6 Connectedness - 6.17, 6.22, 6.27, 6.32, 6.36, 6.37, 6.43
  • Chapter 7 Compactness - 7.1, 7.5, 7.11