Cohomology Theory of Topological Transformation Groups

Cohomology Theory of Topological Transformation Groups
Author :
Publisher : Springer Science & Business Media
Total Pages : 175
Release :
ISBN-10 : 9783642660528
ISBN-13 : 3642660525
Rating : 4/5 (28 Downloads)

Book Synopsis Cohomology Theory of Topological Transformation Groups by : W.Y. Hsiang

Download or read book Cohomology Theory of Topological Transformation Groups written by W.Y. Hsiang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Cohomology Theory of Topological Transformation Groups Related Books

Cohomology Theory of Topological Transformation Groups
Language: en
Pages: 175
Authors: W.Y. Hsiang
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on periodic t
Cohomological Methods in Transformation Groups
Language: en
Pages: 486
Authors: C. Allday
Categories: Mathematics
Type: BOOK - Published: 1993-07 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

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
Transformation Groups and Representation Theory
Language: en
Pages: 317
Authors: T. Tom Dieck
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

DOWNLOAD EBOOK

Representation Theories and Algebraic Geometry
Language: en
Pages: 455
Authors: A. Broer
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the rep
Introduction to Compact Transformation Groups
Language: en
Pages: 477
Authors:
Categories: Mathematics
Type: BOOK - Published: 1972-09-29 - Publisher: Academic Press

DOWNLOAD EBOOK

Introduction to Compact Transformation Groups