Sunday, December 8, 2019

Mastery question material

The mastery material this year (for question 5 on the exam for M4 and MSc students) consists of the (topological) Poincare classification of circle homeomorphisms. The relevant self-study text is [BS], section 7.1. This can be downloaded from Black Board.  Section (7.2) on circle diffeomorphisms will not be examined, but I included it out of general interest. I also include [HK] section 4.3, which deals with the same material as [BS] section 7.1, but the treatment is less condensed and it may be useful as an alternative source of basically the same material.

This material will be discussed in the last lecture on Monday 9 December.

PS: In class, there was a question regarding useful exercises. I would think that the exercises in the handout, [BS, p159], [HK, p134-135, 4.3.2-4.3.7]. I am sure you can find more exercises in other textbooks and online as the material is rather commonly taught.

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