Topological Transformation Groups

Author : Deane Montgomery,Leo Zippin
Publisher : Courier Dover Publications
Page : 304 pages
File Size : 51,9 Mb
Release : 2018-06-13
Category : Mathematics
ISBN : 9780486831589

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Topological Transformation Groups by Deane Montgomery,Leo Zippin Pdf

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.

Author : W.Y. Hsiang
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642660528

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Cohomology Theory of Topological Transformation Groups by W.Y. Hsiang Pdf

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.

Author : T. Tom Dieck
Publisher : Springer
Page : 317 pages
File Size : 51,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540385172

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Transformation Groups and Representation Theory by T. Tom Dieck Pdf

Author : Tammo tom Dieck
Publisher : Walter de Gruyter
Page : 325 pages
File Size : 52,8 Mb
Release : 2011-04-20
Category : Mathematics
ISBN : 9783110858372

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Transformation Groups by Tammo tom Dieck Pdf

“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

Author : Anonim
Publisher : Academic Press
Page : 458 pages
File Size : 42,7 Mb
Release : 1972-09-29
Category : Mathematics
ISBN : 0080873596

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Introduction to Compact Transformation Groups by Anonim Pdf

Introduction to Compact Transformation Groups

Author : A. L. Onishchik
Publisher : Unknown
Page : 324 pages
File Size : 42,7 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:39015032284187

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Topology of Transitive Transformation Groups by A. L. Onishchik Pdf

Author : Armand Borel
Publisher : Princeton University Press
Page : 262 pages
File Size : 47,5 Mb
Release : 1960
Category : Mathematics
ISBN : 0691090947

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Seminar on Transformation Groups by Armand Borel Pdf

The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.

Author : P. S. Mostert
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642461415

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Proceedings of the Conference on Transformation Groups by P. S. Mostert Pdf

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.

Author : A. L. Onishchik
Publisher : Unknown
Page : 315 pages
File Size : 49,6 Mb
Release : 1994-01
Category : Electronic
ISBN : 3527402624

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Topology of Transformation Groups by A. L. Onishchik Pdf

Author : Deane Montgomery,Leo Zippin
Publisher : Courier Dover Publications
Page : 305 pages
File Size : 53,6 Mb
Release : 2018-06-13
Category : Mathematics
ISBN : 9780486824499

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Topological Transformation Groups by Deane Montgomery,Leo Zippin Pdf

Originally published: New York: Interscience Publishers, Inc., 1955. An unabridged republication of: Huntington, New York: Robert E. Krieger Publishing Company, 1974.

Author : Alexander Arhangel’skii,Mikhail Tkachenko
Publisher : Springer Science & Business Media
Page : 794 pages
File Size : 41,7 Mb
Release : 2008-05-01
Category : Mathematics
ISBN : 9789491216350

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Topological Groups and Related Structures, An Introduction to Topological Algebra. by Alexander Arhangel’skii,Mikhail Tkachenko Pdf

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitative and, in a certain sense, irrational. - gebra studies all kinds of operations and provides a basis for algorithms and calculations. Very often, the methods here are ?nitistic in nature. Because of this difference in nature, algebra and topology have a strong tendency to develop independently, not in direct contact with each other. However, in applications, in higher level domains of mathematics, such as functional analysis, dynamical systems, representation theory, and others, topology and algebra come in contact most naturally. Many of the most important objects of mathematics represent a blend of algebraic and of topologicalstructures. Topologicalfunctionspacesandlineartopologicalspacesingeneral, topological groups and topological ?elds, transformation groups, topological lattices are objects of this kind. Very often an algebraic structure and a topology come naturally together; this is the case when they are both determined by the nature of the elements of the set considered (a group of transformations is a typical example). The rules that describe the relationship between a topology and an algebraic operation are almost always transparentandnatural—theoperationhastobecontinuous,jointlyorseparately.

Author : Jan Vries
Publisher : Unknown
Page : 280 pages
File Size : 54,5 Mb
Release : 1975
Category : Categories (Mathematics).
ISBN : UOM:39015017340236

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Topological Transformation Groups by Jan Vries Pdf

Author : Hanspeter Kraft,Ted Petrie,Gerald W. Schwarz
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 1989
Category : Algebraic topology
ISBN : 3764334363

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Topological Methods in Algebraic Transformation Groups by Hanspeter Kraft,Ted Petrie,Gerald W. Schwarz Pdf

Author : Walter Helbig Gottschalk,Gustav Arnold Hedlund
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 47,8 Mb
Release : 1955-01-01
Category : Mathematics
ISBN : 0821874691

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Topological Dynamics by Walter Helbig Gottschalk,Gustav Arnold Hedlund Pdf

Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general theory. Part Two contains notable examples of flows which have contributed to the general theory of topological dynamics and which have in turn have been illuminated by the general theory of topological dynamics.

Author : Tammo tom Dieck
Publisher : Springer
Page : 311 pages
File Size : 45,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540460367

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Algebraic Topology and Transformation Groups by Tammo tom Dieck Pdf