It takes the average reader 5 hours and 26 minutes to read Structure and Regularity of Group Actions on One-Manifolds by Sang-hyun Kim
Assuming a reading speed of 250 words per minute. Learn more
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 the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups. The book will be of interest to researchers in geometric group theory.
Structure and Regularity of Group Actions on One-Manifolds by Sang-hyun Kim is 323 pages long, and a total of 81,719 words.
This makes it 109% the length of the average book. It also has 100% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 26 minutes to read Structure and Regularity of Group Actions on One-Manifolds aloud.
Structure and Regularity of Group Actions on One-Manifolds is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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