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  • Funktioteoria III, syksy 2010

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Those who urgently need to get marks of the course during December, please come to meet me to discuss the essays you are writing.

Exercises

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:

Solutions 1
Solutions 2
Solutions 3
Solutions 4
Solutions 5
Solutions 6


Lecture notes (scetches only)

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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.

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Every second week, exact timing will be announced later on.

Group

Day

Time

Location

Instructor

1.

Fri

10-12

C123

Istvan Prause

WELLCOME!

Logbook

8.9 Definition of modulus of curve families, modulus of simplest configurations (rectangle, annulus), basic properties

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