Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia

• Autore: Dickmann M. A. <1940->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2000
• Descrizione fisica: 1 online resource (271 p.)
• Disciplina: 510 s; 512/.71
• Soggetto topico: Forms, Quadratic; Algebra, Boolean
• Persona (resp. second.): MiragliaFrancisco
• Note generali: "May 2000, volume 145, number 689 (second of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Preface""; ""Chapter 1. Special Groups""; ""1. Special Groups and their Morphisms. Examples""; ""2. Characterizations of Special Groups""; ""3. Fields and Special Groups""; ""Chapter 2. Pfister Forms, Saturated Subgroups and Quotients""; ""1. Pfister Forms""; ""2. Saturated Subgroups""; ""3. Pfister quotients""; ""Chapter 3. The Space of Orders of a Reduced Group. Duality""; ""Chapter 4. Boolean Algebras and Reduced Special Groups""; ""1. Boolean Algebras as Reduced Special Groups""; ""2. The Boolean Hull of a Reduced Special Group""; ""Chapter 5. Embeddings"" ; ""1. Complete Embeddings""""2. SG-morphisms with a retract""; ""3. Pure Embeddings""; ""4. Isotropy-Reflecting Morphisms""; ""Chapter 6. Special Groups of Continuous Functions""; ""1. Filtered Powers""; ""2. SG-filtered Powers""; ""3. Stalks and Germs""; ""4. The Space of Orders of a SG-filtered Power""; ""5. The Boolean Hull of SG-Filtered Powers""; ""Chapter 7. Horn-Tarski and Stiefel-Whitney Invariants""; ""1. The Horn-Tarski conditions""; ""2. Basic Properties""; ""3. Some applications""; ""4. The invariants of Pfister forms""; ""5. The invariants of linear combinations of Pfister forms"" ; ""Chapter 8. Algebraic K-theory of Fields and Special Groups""""1. Milnor's Algebraic K-theory""; ""2. Isometry and K-Theoretic Stiefel-Whitney Invariants""; ""Chapter 9. Marshall's Conjecture for Pythagorean Fields""; ""1. Introduction""; ""2. The inductive limit of graded rings of exponent two""; ""3. The isomorphisms k(F) â?? B(F) and W(G) â?? B[sub(G)]""; ""4. The equivalence of Marshall's conjecture to the weak Marshall conjecture for AV groups""; ""5. Marshall's conjecture for Pythagorean fields""; ""Chapter 10. The category of special groups""; ""1. Monics and Epics"" ; ""2. Free, injective and projective objects""""3. Products and Coproducts""; ""Chapter 11. Some Model Theory of Special Groups""; ""1. The first-order theory of fans""; ""2. Existentially closed special groups""; ""3. The model-completion of the theory of reduced special groups""; ""4. The atomless hull of a Boolean algebra""; ""5. The atomless hull of a reduced special group""; ""6. Quantifier Elimination""; ""Appendix A. The Universal Theory of Reduced Special Groups""; ""Appendix B. Table of References for [DM1] and [DM2]""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E"" ; ""F""""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""
• Titolo autorizzato: Special groups
• ISBN: 1-4704-0280-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788740403321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 689.