Chapter 4 Topological Properties
  1. Topological Properties
     (Section 3 of Martin Crossley's notes)*
  2. A Fundamental Theorem
  3. The Algebra of Sets Revisited
        and [0,1] Revisited
  4. Topological Properties
     (Section 3 of Martin Crossley's notes)*
      Any n-cube is Compact
  5. Notes on the Definition of Compact Spaces
  6. The Extreme Value Theorem
  7. Some Different Topologies
  8. Problem 4.8