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Author: Tammo tom Dieck
Publisher: Walter de Gruyter
Published: 2011-04-20
Total Pages: 325
ISBN-13: 3110858371
DOWNLOAD EBOOK“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: Tammo tom Dieck
Publisher: Springer
Published: 2006-11-14
Total Pages: 311
ISBN-13: 3540460365
DOWNLOAD EBOOKAuthor: Wolfgang Lück
Publisher: Springer
Published: 2006-11-14
Total Pages: 455
ISBN-13: 3540468277
DOWNLOAD EBOOKThe book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.
Author: W.Y. Hsiang
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 175
ISBN-13: 3642660525
DOWNLOAD EBOOKHistorically, 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
Published: 2006-11-15
Total Pages: 317
ISBN-13: 3540385177
DOWNLOAD EBOOKAuthor: Deane Montgomery
Publisher: Courier Dover Publications
Published: 2018-06-13
Total Pages: 305
ISBN-13: 0486831582
DOWNLOAD EBOOKAn 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: Armand Borel
Publisher: Princeton University Press
Published: 1960
Total Pages: 260
ISBN-13: 0691090947
DOWNLOAD EBOOKArmond Borel’s influential seminar on transformation groups from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Mahender Singh
Publisher: Springer
Published: 2019-02-02
Total Pages: 313
ISBN-13: 9811357420
DOWNLOAD EBOOKThis book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.
Author: C. Allday
Publisher: Cambridge University Press
Published: 1993-07
Total Pages: 486
ISBN-13: 0521350220
DOWNLOAD EBOOKThis 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: A. L. Onishchik
Publisher:
Published: 1994
Total Pages: 324
ISBN-13:
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