The Resource Fixed point theory of parametrized equivariant maps, Hanno Ulrich

Fixed point theory of parametrized equivariant maps, Hanno Ulrich

Label
Fixed point theory of parametrized equivariant maps
Title
Fixed point theory of parametrized equivariant maps
Statement of responsibility
Hanno Ulrich
Creator
Subject
Genre
Language
eng
Summary
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 theory's 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
Member of
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)
Label
Fixed point theory of parametrized equivariant maps, Hanno Ulrich
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/BFb0079799
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 141-143) 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
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
Note
SpringerLink
Other physical details
illustrations
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)289104318
  • (OCoLC)ocn289104318
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
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/BFb0079799
Publication
Bibliography note
Includes bibliographical references (pages 141-143) 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
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
Note
SpringerLink
Other physical details
illustrations
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)289104318
  • (OCoLC)ocn289104318
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.

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