Those who urgently need to get marks of the course during December, please come to meet me to discuss the essays you are writing.
Problemset 1 (24.9)
Problemset 2 (8.10)
Problemset 3 (22.10)
Problemset 4 (12.11)
Problemset 5 (3.12)
Problemset 6 (10.12)
SUGGESTIONS FOR SOLUTIONS:
Lecture notes (scetches only)
Rami Luisto has written an account of a self-contained proof (presented in the last lecture) of Jordan's curve theorem (with two proofs) and of the lemma of Janizewski, based only on results of FTII. The text is found below.
In turn, the text by Tomas Soto shows how the Caratheodory theorem of boundary extension for conformal maps (from the disc to Jordan domains), and as a simple consequence the Schoenfliess theorem, are proven by assuming Jordan theorem and Janitzewski's lemma.
Every second week, exact timing will be announced later on.
8.9 Definition of modulus of curve families, modulus of simplest configurations (rectangle, annulus), basic properties