Structure and Regularity of Group Actions on One-Manifolds (Hardcover)
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Description
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 H lder's Theorem.- C. The Thurston Stability Theorem.- Index.