04647nam 22013935 450 991015474760332120190708092533.01-4008-8141-210.1515/9781400881413(CKB)3710000000627308(SSID)ssj0001651294(PQKBManifestationID)16425919(PQKBTitleCode)TC0001651294(PQKBWorkID)13321899(PQKB)10069516(MiAaPQ)EBC4738504(DE-B1597)468004(OCoLC)979743170(DE-B1597)9781400881413(EXLCZ)99371000000062730820190708d2016 fg engurcnu||||||||txtccrK-Theory of Forms. (AM-98), Volume 98 /Anthony BakPrinceton, NJ : Princeton University Press, [2016]©19821 online resource (280 pages)Annals of Mathematics Studies ;237Bibliographic Level Mode of Issuance: Monograph0-691-08274-X 0-691-08275-8 Includes bibliographical references and index.Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- BackmatterThe description for this book, K-Theory of Forms. (AM-98), Volume 98, will be forthcoming.Annals of mathematics studies ;Number 98.K-theoryModules (Algebra)Forms (Mathematics)Abelian group.Addition.Algebraic K-theory.Algebraic topology.Approximation.Arithmetic.Canonical map.Coefficient.Cokernel.Computation.Coprime integers.Coset.Direct limit.Direct product.Division ring.Elementary matrix.Exact sequence.Finite group.Finite ring.Free module.Functor.General linear group.Global field.Group homomorphism.Group ring.Homology (mathematics).Integer.Invertible matrix.Isomorphism class.K-theory.Linear map.Local field.Matrix group.Maxima and minima.Mayer–Vietoris sequence.Module (mathematics).Monoid.Morphism.Natural transformation.Normal subgroup.P-group.Parameter.Power of two.Product category.Projective module.Quadratic form.Requirement.Ring of integers.Semisimple algebra.Sesquilinear form.Special case.Steinberg group (K-theory).Steinberg group.Subcategory.Subgroup.Subspace topology.Surjective function.Theorem.Theory.Topological group.Topological ring.Topology.Torsion subgroup.Triviality (mathematics).Unification (computer science).Unitary group.Witt group.K-theory.Modules (Algebra)Forms (Mathematics)512/.55Bak Anthony, 54243DE-B1597DE-B1597BOOK9910154747603321K-Theory of Forms. (AM-98), Volume 982786171UNINA