Lecture 10, October 8.

Material to be covered: Rudin pages 84-89.

Problem set 5 today.

  1. Continuity of composite maps.
  2. Continuity for a map and inverse images of open sets.
  3. Inverse images of closed sets.
  4. Continuity of functions -- sums, products and quotients.
  5. Continuous images of compact sets are compact.
  6. Real continuous function on a compact set attains max and min.