Fixed point theory of parametrized equivariant maps
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The work Fixed point theory of parametrized equivariant maps represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Fixed point theory of parametrized equivariant maps
Resource Information
The work Fixed point theory of parametrized equivariant maps represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Fixed point theory of parametrized equivariant maps
 Statement of responsibility
 Hanno Ulrich
 Subject

 Applications (mathématiques)
 Fixed point theory
 Fixed point theory
 Fixed point theory
 Fixpunkt
 Homotopie
 Homotopy theory
 Homotopy theory
 Homotopy theory
 Mappings (Mathematics)
 Mappings (Mathematics)
 Mappings (Mathematics)
 Point fixe, Théorème du
 Point fixe, Théorème du
 Äquivariante Abbildung
 Applications (Mathématiques)
 Language
 eng
 Summary
 The first part of this research monograph discusses general properties of GENRBs  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 theory's coefficient group. Among the consequences of the sum formula are some BorsukUlam theorems as well as some folklore results on compact Liegroups. The final section investigates the fixed point index in equivariant Ktheory. 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
 Action
 digitized
 Cataloging source
 SPLNM
 Dewey number

 510 s
 515/.7248
 Illustrations
 illustrations
 Index
 index present
 LC call number

 QA3
 QA329.9
 LC item number
 .L28 no. 1343
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1343
Context
Context of Fixed point theory of parametrized equivariant mapsWork of
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