Super-Real Fields: Totally Ordered Fields with Additional Structure
Harold Garth Dales, W. Hugh Woodin · 1996
Introduction 1. Ordered sets and ordered groups 2. Ordered fields 3. Completions of ordered groups and fields 4. Algebras of continuous functions 5. Normability and universality 6. The operational calculus and the field R 7. Examples 8. Non-standard structures for super-real fields and the gap theorem 9. R as a hyper-real field 10. Models and weak Cauchy completeness 11. Rigid fields and solids structures 12. Open questions