In the lecture yesterday (Monday ¡­

In the lecture yesterday (Monday 23. Jan) I did what was left about open/closed sets and did continuous functions --- that is, we have done sections 2.2 and 2.3 in Tom's notes. I also include a little about the closure of a set, basically problem 7 on page 33 in Tom's.

On friday I'll do section 2.4 on complete metric spaces and Banach's fixed point theorem.

Next week we will do 2.5 and parts of 2.6 about compact spaces. The entire section 2.5 will be done, but from 2.6 only def 2.6.1, prop 2.6.2 and the statement of theorem 2.6.6 (i.e not the proof) will be included.

That week I am in USA, so Inger Christin Borge will give the lectures.