Infinite Group Actions On Spheres

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Infinite Group Actions On Spheres

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Author : Gaven J. Martin
language : en
Publisher:
Release Date : 1989

Infinite Group Actions On Spheres written by Gaven J. Martin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Group actions (Mathematics) categories.

Infinite Group Actions On Sphere

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Author : G. J. Martin
language : en
Publisher:
Release Date : 1989

Infinite Group Actions On Sphere written by G. J. Martin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

Infinite Group Actions On Polyhedra

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Author : MICHAEL W. DAVIS
language : en
Publisher: Springer Nature
Release Date : 2024

Infinite Group Actions On Polyhedra written by MICHAEL W. DAVIS and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Infinite groups categories.

In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings. Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.

Differentiable Actions On Homotopy Seven Spheres

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Author : D. Montgomery
language : en
Publisher:
Release Date : 1965

Differentiable Actions On Homotopy Seven Spheres written by D. Montgomery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

This report presents studies of differentiable actions of the circle group SO(2) on homotopy 7-spheres. The class of free such actions is shown to form an infinite abelian group which is closely related to the group of differentiable knotted 3-spheres in the 6-sphere. Studies are also presented on actions, each having a 3-sphere as the fixed point set and acting freely otherwise. (Author).

Invariants For Group Actions On Spheres

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Author : Donald Edward Smith
language : en
Publisher:
Release Date : 1980

Invariants For Group Actions On Spheres written by Donald Edward Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Group theory categories.

Dynamics Of Discrete Group Action

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Author : Boris N. Apanasov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22

Dynamics Of Discrete Group Action written by Boris N. Apanasov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.

Algebraic Topology Applications And New Directions

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Author : Ulrike Tillmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-07-14

Algebraic Topology Applications And New Directions written by Ulrike Tillmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.

This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.

Crossed Products Of C Algebras Topological Dynamics And Classification

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Author : Thierry Giordano
language : en
Publisher: Springer
Release Date : 2018-08-28

Crossed Products Of C Algebras Topological Dynamics And Classification written by Thierry Giordano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Mathematics categories.

This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures. The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role in the classification program of simple, nuclear, separable C*-algebras. The second series of lectures, delivered by N. Christopher Phillips, serves as an introduction to group actions on C*-algebras and their crossed products, with emphasis on the simple case and when the crossed products are classifiable. The third one, given by David Kerr, treats various developments related to measure-theoretic and topological aspects of crossed products, focusing on internal and external approximation concepts, both for groups and C*-algebras. Finally, the last series of lectures, delivered by Thierry Giordano, is devoted to the theory of topological orbit equivalence, with particular attention to the classification of minimal actions by finitely generated abelian groups on the Cantor set.

An Introduction To The Theory Of Higher Dimensional Quasiconformal Mappings

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Author : Frederick W. Gehring
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-05-03

An Introduction To The Theory Of Higher Dimensional Quasiconformal Mappings written by Frederick W. Gehring and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-03 with Conformal mapping categories.

This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.

Revista Matem Tica Iberoamericana

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Author :
language : en
Publisher:
Release Date : 1989

Revista Matem Tica Iberoamericana written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.