TY - BOOK AU - Weiss,Michael S. AU - Williams,Bruce E. TI - Automorphisms of manifolds and algebraic K-theory: part III T2 - Memoirs of the American Mathematical Society SN - 9781470409814 (pbk. : acidfree paper : pt. 3) U1 - 510 23 PY - 2014/// CY - Providence PB - American Mathematical Society KW - Homology theory KW - Manifolds (Mathematics) KW - K-theory KW - Automorphisms N1 - "Volume 231, number 1084 (first of 5 numbers), September 2014."; Includes bibliographical references (pages 109-110); 1. Introduction-- 2. Outline of proof-- 3. Visible L-theory revisited-- 4. The hyperquadratic L-theory of a point-- 5. Excision and restriction in controlled L-theory-- 6. control and visible L-theory-- 7. Control, stabilization and change of decoration-- 8. Spherical fibrations and twisted duality-- 9. Homotopy invariant characteristics and signatures-- 10. Excisive characteristics and signatures-- 11. Algebraic approximations to structure spaces: set-up-- 12. Algebraic approximations to structure spaces: constructions-- 13. Algebraic models for structure spaces: proofs-- Appendices-- Bibliography. N2 - The structure space 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 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 ER -