Structure and Regularity of Group Actions on One-Manifolds

by Sang-Hyun Kim

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: Paperback
• Language: English
• ISBN: 3030890082
• ISBN13: 9783030890087
• Release Date: November 2022
• Publisher: Springer
• Length: 323 Pages
• Weight: 1.05 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"