Structure and Regularity of Group Actions on One-Manifolds

Structure and Regularity of Group Actions on One-Manifolds

Kim, Sang-hyun; Koberda, Thomas

Springer Nature Switzerland AG

11/2021

323

Dura

Inglês

9783030890056

15 a 20 dias

676

Descrição não disponível.
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 Hoelder's Theorem.- C. The Thurston Stability Theorem.- Index.
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Critical Regularity;One-manifold;Diffeomorphism;Denjoy Theory;Orderable Group