**Memoirs of the American Mathematical Society**

2014;
110 pp;
Softcover

MSC: Primary 57;
Secondary 19

Print ISBN: 978-1-4704-0981-4

Product Code: MEMO/231/1084

List Price: $71.00

Individual Member Price: $42.60

**Electronic ISBN: 978-1-4704-1720-8
Product Code: MEMO/231/1084.E**

List Price: $71.00

Individual Member Price: $42.60

# Automorphisms of Manifolds and Algebraic \(K\)-Theory: Part III

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*Michael S. Weiss; Bruce E. Williams*

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.

#### Table of Contents

# Table of Contents

## Automorphisms of Manifolds and Algebraic $K$-Theory: Part III

- Cover Cover11 free
- Title page i2 free
- Chapter 1. Introduction 18 free
- Chapter 2. Outline of proof 714 free
- Chapter 3. Visible 𝐿-theory revisited 1118
- Chapter 4. The hyperquadratic 𝐿–theory of a point 2532
- Chapter 5. Excision and restriction in controlled 𝐿–theory 3138
- Chapter 6. Control and visible 𝐿-theory 4148
- Chapter 7. Control, stabilization and change of decoration 4552
- Chapter 8. Spherical fibrations and twisted duality 5562
- Chapter 9. Homotopy invariant characteristics and signatures 5966
- Chapter 10. Excisive characteristics and signatures 6370
- Chapter 11. Algebraic approximations to structure spaces: Set-up 7178
- Chapter 12. Algebraic approximations to structure spaces: Constructions 7582
- Chapter 13. Algebraic models for structure spaces: Proofs 8188
- Appendix A. Homeomorphism groups of some stratified spaces 93100
- Appendix B. Controlled homeomorphism groups 101108
- Appendix C. 𝐾-theory of pairs and diagrams 103110
- Appendix D. Corrections and Elaborations 105112
- Bibliography 109116
- Back Cover Back Cover1122