Lecture 5, September 19.

Material to be covered: Rudin Pages 33-37

Metric spaces, basic theory

  1. Complements of unions are intersections of complements
  2. Relatively open subsets
  3. Compact sets defined
  4. Relative compactness is compactness
  5. Compact sets are closed
Problem set 3 is due Tuesday September 24 at Noon in 2-251.