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1. Introduction
2. Denjoy's Theorem and Exceptional Diffeomorphisms of the Circle
3. Full Diffeomorphism Groups Determine the Diffeomorphism Class of a Manifold
4. The C1 and C2 Theory of Diffeomorphism Groups
5. Chain Groups
6. The Slow Progress Lemma
7. Algebraic Obstructions for General Regularities
8. Applications
A. Concave Moduli of Continuity
B. Orderability and Hölder's Theorem
C. The Thurston Stability Theorem
Index.

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