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Cohomology Theory of Topological Transformation Groups by W.Y. Hsiang (Paperback, 2011)

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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.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642660542
eBay Product ID (ePID)
117498739

Product Key Features

Author
w.Y. Hsiang
Publication Name
Cohomology Theory of Topological Transformation Groups
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
166 Pages

Dimensions

Item Height
244mm
Item Width
170mm
Volume
85
Item Weight
322g

Additional Product Features

Title_Author
w.Y. Hsiang
Series Title
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge
Country/Region of Manufacture
Germany

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Cohomology Theory of Topological Transformation Groups by W.Y. Hsiang (Paperback, 2011)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

Best Selling in Adult Learning & University

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