Structure and Regularity of Group Actions on One-Manifolds

by Kim, Sang-Hyun
ISBN: 9783030890056
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Overview

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.
  • Format: Hardcover
  • Author: Kim, Sang-Hyun
  • ISBN: 9783030890056
  • Condition: New
  • Dimensions: 9.21 x 0.81
  • Number Of Pages: 340
  • Publication Year: 2021
Language: English