Cohomology Theory Of Topological Transformation Groups PDF Download
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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 | : Wu Yi Hsiang |
Publisher | : |
Total Pages | : 0 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Cohomology theory of topological transformation groups Book in PDF, ePub and Kindle
Author | : T. Tom Dieck |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540385177 |
Download Transformation Groups and Representation Theory Book in PDF, ePub and Kindle
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 | : Theodore Ching-Chien Chang |
Publisher | : |
Total Pages | : 64 |
Release | : 1972 |
Genre | : |
ISBN | : |
Download On the Splitting Principle of Cohomology Theory of Transformation Groups Book in PDF, ePub and Kindle
Author | : Akira Kōno |
Publisher | : American Mathematical Soc. |
Total Pages | : 276 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780821835142 |
Download Generalized Cohomology Book in PDF, ePub and Kindle
Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.
Author | : Goutam Mukherjee |
Publisher | : Springer |
Total Pages | : 140 |
Release | : 2005-04-15 |
Genre | : Mathematics |
ISBN | : 9386279304 |
Download Transformation Groups Book in PDF, ePub and Kindle
Contributed lectures presented earlier at Winter School on Transformation Groups.
Author | : Tammo tom Dieck |
Publisher | : Walter de Gruyter |
Total Pages | : 325 |
Release | : 2011-04-20 |
Genre | : Mathematics |
ISBN | : 3110858371 |
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“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 | : |
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 | : Tor Skjelbred |
Publisher | : |
Total Pages | : 102 |
Release | : 1972 |
Genre | : |
ISBN | : |
Download Cohomology Theory of Compact Transformation Groups Book in PDF, ePub and Kindle