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Automorphisms of Manifolds and Algebraic Part III.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society SeriesPublisher: Providence : American Mathematical Society, 2014Copyright date: ©2014Edition: 1st edDescription: 1 online resource (122 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470417208
Subject(s): Genre/Form: Additional physical formats: Print version:: Automorphisms of Manifolds and Algebraic DDC classification:
  • 514/.34
LOC classification:
  • QA612.7 .W38 2014
Online resources:
Contents:
Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Outline of proof -- Chapter 3. Visible -theory revisited -- Chapter 4. The hyperquadratic -theory of a point -- Chapter 5. Excision and restriction in controlled -theory -- Chapter 6. Control and visible -theory -- Chapter 7. Control, stabilization and change of decoration -- Chapter 8. Spherical fibrations and twisted duality -- Chapter 9. Homotopy invariant characteristics and signatures -- Chapter 10. Excisive characteristics and signatures -- Chapter 11. Algebraic approximations to structure spaces: Set-up -- Chapter 12. Algebraic approximations to structure spaces: Constructions -- Chapter 13. Algebraic models for structure spaces: Proofs -- Appendix A. Homeomorphism groups of some stratified spaces -- Appendix B. Controlled homeomorphism groups -- Appendix C. -theory of pairs and diagrams -- Appendix D. Corrections and Elaborations -- Bibliography -- Back Cover.
Summary: The structure space \mathcal{S}(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. The authors construct a highly connected map from \mathcal{S}(M) to a concoction of algebraic L-theory and algebraic K-theory spaces associated with M. The construction refines the well-known surgery theoretic analysis of the block structure space of M in terms of L-theory.
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Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Outline of proof -- Chapter 3. Visible -theory revisited -- Chapter 4. The hyperquadratic -theory of a point -- Chapter 5. Excision and restriction in controlled -theory -- Chapter 6. Control and visible -theory -- Chapter 7. Control, stabilization and change of decoration -- Chapter 8. Spherical fibrations and twisted duality -- Chapter 9. Homotopy invariant characteristics and signatures -- Chapter 10. Excisive characteristics and signatures -- Chapter 11. Algebraic approximations to structure spaces: Set-up -- Chapter 12. Algebraic approximations to structure spaces: Constructions -- Chapter 13. Algebraic models for structure spaces: Proofs -- Appendix A. Homeomorphism groups of some stratified spaces -- Appendix B. Controlled homeomorphism groups -- Appendix C. -theory of pairs and diagrams -- Appendix D. Corrections and Elaborations -- Bibliography -- Back Cover.

The structure space \mathcal{S}(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. The authors construct a highly connected map from \mathcal{S}(M) to a concoction of algebraic L-theory and algebraic K-theory spaces associated with M. The construction refines the well-known surgery theoretic analysis of the block structure space of M in terms of L-theory.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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