Fixed Point Theory of Parametrized Equivariant Maps by Hanno Ulrich (English) Pa

Description: Fixed Point Theory of Parametrized Equivariant Maps by Hanno Ulrich It thus addresses equivariant point set topology as well as equivariant homotopy theory. The second part presents equivariant cohomology theory showing that equivariant fixed point theory is isomorphic to equivariant stable cohomotopy theory. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles. It thus addresses equivariant point set topology as well as equivariant homotopy theory. Notable tools are vertical Jaworowski criterion and an equivariant transversality theorem. The second part presents equivariant cohomology theory showing that equivariant fixed point theory is isomorphic to equivariant stable cohomotopy theory. A crucial result is the sum decomposition of the equivariant fixed point index which provides an insight into the structure of the theorys coefficient group. Among the consequences of the sum formula are some Borsuk-Ulam theorems as well as some folklore results on compact Lie-groups. The final section investigates the fixed point index in equivariant K-theory. The book is intended to be a thorough and comprehensive presentation of its subject. The reader should be familiar with the basics of the theory of compact transformation groups. Good knowledge of algebraic topology - both homotopy and homology theory - is assumed. For the advanced reader, the book may serve as a base for further research. The student will be introduced into equivariant fixed point theory; he may find it helpful for further orientation. Notes Springer Book Archives Table of Contents Preliminaries on group actions.- Equivariant vertical euclidean neighbourhood retracts.- The fixed point index of equivariant vertical maps. Promotional Springer Book Archives Details ISBN3540501878 Author Hanno Ulrich Short Title FIXED POINT THEORY OF PARAMETR Series Lecture Notes in Mathematics Language English ISBN-10 3540501878 ISBN-13 9783540501879 Media Book Format Paperback Series Number 1343 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Pages 154 DOI 10.1604/9783540501879;10.1007/b34857;10.1007/978-3-540-45950-7;10.1007/BFb0079799 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 1988 ed. Year 1988 Edition 1988th Publication Date 1988-09-14 DEWEY 510 Illustrations X, 154 p. Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96279962;

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