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Book Cover
E-book
Author Katok, Anatole

Title Rigidity in Higher Rank Abelian Group Actions, Volume 1 : Introduction and Cocycle Problem
Published Leiden : Cambridge University Press, 2011

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Description 1 online resource (321 pages)
Series Cambridge Tracts in Mathematics, 185
Cambridge Tracts in Mathematics, 185
Contents Cover; Half-title; Series-title; Title; Copyright; Contents; Introduction: an overview; 1. Rigidity in dynamics; 2. Limited extent of rigidity in traditional dynamics; 3. Rigidity for actions of higher rank abelian groups; 4. Mechanisms of rigidity; 5. Measure rigidity; 6. Contrast and similarities with actions of "large" groups; 7. Background, references, and other sources; Acknowledgements; Part I: Preliminaries from dynamics and analysis; 1 Definitions and general properties of abelian group actions; 2 Principal classes of algebraic actions; 3 Preparatory results from analysis
Part II: Cocycles, cohomology, and rigidity4 First cohomology and rigidity for vector-valued cocycles; 5 First cohomology and rigidity for general cocycles; 6 Higher order cohomology; References; Index
Summary Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field
Notes Print version record
Subject Abelian groups.
Geometry.
Rigidity (Geometry)
geometry.
Abelian groups
Geometry
Rigidity (Geometry)
Form Electronic book
Author Nitica, Viorel
ISBN 9781139091787
1139091786
1283127350
9781283127356