Structure and Regularity of Group Actions on One-Manifolds

by Sang-Hyun Kim and Thomas Koberda

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This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include...

Format:Hardcover

Language:English

ISBN:3030890058

ISBN13:9783030890056

Release Date:November 2021

Publisher:Springer

Length:323 Pages

Weight:1.44 lbs.

Dimensions:0.8" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science & Math

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Structure and Regularity of Group Actions on One-Manifolds

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