Topological Transformation Groups
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Topological Transformation Groups
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Author : Deane Montgomery
language : en
Publisher: Courier Dover Publications
Release Date : 2018-06-13
Topological Transformation Groups written by Deane Montgomery and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-13 with Mathematics categories.
An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem. The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.
Cohomology Theory Of Topological Transformation Groups
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Author : W.Y. Hsiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cohomology Theory Of Topological Transformation Groups written by W.Y. Hsiang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on periodic transformations and, a little later, in the beautiful fixed point theorem ofP. A. Smith for prime periodic maps on homology spheres. Upon comparing the fixed point theorem of Smith with its predecessors, the fixed point theorems of Brouwer and Lefschetz, one finds that it is possible, at least for the case of homology spheres, to upgrade the conclusion of mere existence (or non-existence) to the actual determination of the homology type of the fixed point set, if the map is assumed to be prime periodic. The pioneer result of P. A. Smith clearly suggests a fruitful general direction of studying topological transformation groups in the framework of algebraic topology. Naturally, the immediate problems following the Smith fixed point theorem are to generalize it both in the direction of replacing the homology spheres by spaces of more general topological types and in the direction of replacing the group tl by more general compact groups.
Introduction To Compact Transformation Groups
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Author :
language : en
Publisher: Academic Press
Release Date : 1972-09-29
Introduction To Compact Transformation Groups written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-09-29 with Mathematics categories.
Introduction to Compact Transformation Groups
Transformation Groups
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Author : Tammo tom Dieck
language : en
Publisher: Walter de Gruyter
Release Date : 2011-04-20
Transformation Groups written by Tammo tom Dieck and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-20 with Mathematics categories.
“This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Prof. Günter M. Ziegler, TU Berlin
Seminar On Transformation Groups
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Author : Armand Borel
language : en
Publisher: Princeton University Press
Release Date : 1960
Seminar On Transformation Groups written by Armand Borel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
Topology Of Transitive Transformation Groups
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Author : A. L. Onishchik
language : en
Publisher:
Release Date : 1994
Topology Of Transitive Transformation Groups written by A. L. Onishchik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Transformation Groups And Representation Theory
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Author : T. Tom Dieck
language : en
Publisher: Springer
Release Date : 2006-11-15
Transformation Groups And Representation Theory written by T. Tom Dieck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Proceedings Of The Conference On Transformation Groups
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Author : P. S. Mostert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Conference On Transformation Groups written by P. S. Mostert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.
Topological Transformation Groups
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Author : Jan Vries
language : en
Publisher:
Release Date : 1975
Topological Transformation Groups written by Jan Vries and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Categories (Mathematics). categories.
Topology Of Transformation Groups
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Author : A. L. Onishchik
language : en
Publisher:
Release Date : 1994-01
Topology Of Transformation Groups written by A. L. Onishchik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01 with categories.