Topological Transformation Groups PDF Download
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Author | : Deane Montgomery |
Publisher | : Courier Dover Publications |
Total Pages | : 305 |
Release | : 2018-06-13 |
Genre | : Mathematics |
ISBN | : 0486824497 |
Download Topological Transformation Groups Book in PDF, ePub and Kindle
Originally published: New York: Interscience Publishers, Inc., 1955. An unabridged republication of: Huntington, New York: Robert E. Krieger Publishing Company, 1974.
Author | : W.Y. Hsiang |
Publisher | : Springer Science & Business Media |
Total Pages | : 175 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642660525 |
Download Cohomology Theory of Topological Transformation Groups Book in PDF, ePub and Kindle
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 | : |
Publisher | : Academic Press |
Total Pages | : 477 |
Release | : 1972-09-29 |
Genre | : Mathematics |
ISBN | : 0080873596 |
Download Introduction to Compact Transformation Groups Book in PDF, ePub and Kindle
Introduction to Compact Transformation Groups
Author | : Alexander Arhangel’skii |
Publisher | : Springer Science & Business Media |
Total Pages | : 794 |
Release | : 2008-05-01 |
Genre | : Mathematics |
ISBN | : 949121635X |
Download Topological Groups and Related Structures, An Introduction to Topological Algebra. Book in PDF, ePub and Kindle
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 | : Armand Borel |
Publisher | : Princeton University Press |
Total Pages | : 245 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882672 |
Download Seminar on Transformation Groups. (AM-46), Volume 46 Book in PDF, ePub and Kindle
The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
Author | : William Jesse Gray |
Publisher | : |
Total Pages | : 82 |
Release | : 1965 |
Genre | : Topology |
ISBN | : |
Download Topological Transformation Groups with a Fixed End Point Book in PDF, ePub and Kindle
Author | : Tammo tom Dieck |
Publisher | : Walter de Gruyter |
Total Pages | : 325 |
Release | : 2011-04-20 |
Genre | : Mathematics |
ISBN | : 3110858371 |
Download Transformation Groups Book in PDF, ePub and Kindle
“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 | : C. Allday |
Publisher | : Cambridge University Press |
Total Pages | : 486 |
Release | : 1993-07 |
Genre | : Mathematics |
ISBN | : 0521350220 |
Download Cohomological Methods in Transformation Groups Book in PDF, ePub and Kindle
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.
Author | : Armand Borel |
Publisher | : Princeton University Press |
Total Pages | : 262 |
Release | : 1960 |
Genre | : Mathematics |
ISBN | : 9780691090948 |
Download Seminar on Transformation Groups Book in PDF, ePub and Kindle
The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
Author | : A. L. Onishchik |
Publisher | : |
Total Pages | : 324 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : |
Download Topology of Transitive Transformation Groups Book in PDF, ePub and Kindle