Lecture 10, October 8.
Material to be covered: Rudin pages 84-89.
Problem set 5 today.
- Continuity of composite maps.
- Continuity for a map and inverse images of open sets.
- Inverse images of closed sets.
- Continuity of functions -- sums, products and quotients.
- Continuous images of compact sets are compact.
- Real continuous function on a compact set attains max and min.