Super-Real Fields Totally Ordered Fields With Additional Structure
- Binding: Hardcover
- Publisher: Oxford Univ Pr
- Publish date: 07/01/1996
Description:
Introduction1. Ordered sets and ordered groups2. Ordered fields3. Completions of ordered groups and fields4. Algebras of continuous functions5. Normability and universality6. The operational calculus and the field R7. Examples8. Non-standard structures for super-real fields and the gap theorem9. R as a hyper-real field10. Models and weak Cauchy completeness11. Rigid fields and solids structures12. Open questions
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