The Resource Fixed point theory of parametrized equivariant maps, Hanno Ulrich
Fixed point theory of parametrized equivariant maps, Hanno Ulrich
Resource Information
The item Fixed point theory of parametrized equivariant maps, Hanno Ulrich represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Fixed point theory of parametrized equivariant maps, Hanno Ulrich represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (147 pages)
 Contents

 Introduction
 Preliminaries on Group Actions
 Equivariant Vertical Euclidean Neighbourhood Retracts
 The Fixed Point Index of Equivariant Vertical Maps
 Appendix
 Bibliography
 Index of Notation and Terminology
 Isbn
 9783540459507
 Label
 Fixed point theory of parametrized equivariant maps
 Title
 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
 http://library.link/vocab/creatorName
 Ulrich, Hanno
 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
 http://library.link/vocab/subjectName

 Fixed point theory
 Homotopy theory
 Mappings (Mathematics)
 Point fixe, Théorème du
 Applications (Mathématiques)
 Fixed point theory
 Homotopy theory
 Mappings (Mathematics)
 Point fixe, Théorème du
 Homotopie
 Applications (mathématiques)
 Äquivariante Abbildung
 Fixpunkt
 Label
 Fixed point theory of parametrized equivariant maps, Hanno Ulrich
 Bibliography note
 Includes bibliographical references (pages 141143) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Preliminaries on Group Actions  Equivariant Vertical Euclidean Neighbourhood Retracts  The Fixed Point Index of Equivariant Vertical Maps  Appendix  Bibliography  Index of Notation and Terminology
 Control code
 289104318
 Dimensions
 unknown
 Extent
 1 online resource (147 pages)
 Form of item
 online
 Isbn
 9783540459507
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)289104318
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
 Label
 Fixed point theory of parametrized equivariant maps, Hanno Ulrich
 Bibliography note
 Includes bibliographical references (pages 141143) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Preliminaries on Group Actions  Equivariant Vertical Euclidean Neighbourhood Retracts  The Fixed Point Index of Equivariant Vertical Maps  Appendix  Bibliography  Index of Notation and Terminology
 Control code
 289104318
 Dimensions
 unknown
 Extent
 1 online resource (147 pages)
 Form of item
 online
 Isbn
 9783540459507
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)289104318
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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)
Member of
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