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Special groups : boolean-theoretic methods in the theory of quadratic forms /
This monograph presents a systematic study of Special Groups, a first-order universal-existential axiomatization of the theory of quadratic forms, which comprises the usual theory over fields of characteristic different from 2, and is dual to the theory of abstract order spaces. The heart of our the...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, R.I. :
American Mathematical Society,
2000.
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| Series: | Memoirs of the American Mathematical Society ;
no. 689. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- 1. Special groups 2. Pfister forms, saturated subgroups and quotients 3. The space of orders of a reduced group. Duality 4. Boolean algebras and reduced special groups 5. Embeddings 6. Special groups of continuous functions 7. Horn-Tarski and Stiefel-Whitney invariants 8. Algebraic $K$-theory of fields and special groups 9. Marshall's conjecture for Pythagorean fields 10. The category of special groups 11. Some model theory of special groups.