Automorphisms of Manifolds and Algebraic Part III.
Weiss, Michael S.
Automorphisms of Manifolds and Algebraic Part III. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society Series ; v.231 . - Memoirs of the American Mathematical Society Series .
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(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(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.
9781470417208
Automorphisms.
Homology theory.
K-theory.
Manifolds (Mathematics).
Electronic books.
QA612.7 .W38 2014
514/.34
Automorphisms of Manifolds and Algebraic Part III. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society Series ; v.231 . - Memoirs of the American Mathematical Society Series .
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(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(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.
9781470417208
Automorphisms.
Homology theory.
K-theory.
Manifolds (Mathematics).
Electronic books.
QA612.7 .W38 2014
514/.34