Super-real fields

Super-real fields: totally ordered fields with additional structure

by Dales, H. G., (Harold G.)

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Title Statements

  • Full title :Super-real fields : totally ordered fields with additional structure / H. Garth Dales and W. Hugh Woodin.

Edition Statements

  • Publication Date:1996.

Publication Statements

The Physical Object

  • Description:xiii, 357 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:0198539916, 9780198539919
  • oclc:ocm34933542
  • LC Classification:QA247
  • Dewey Decimal:514.2

Table of Contents

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 [actual symbol not reproducible] -- 7. Examples -- 8. Non-standard structures for super-real fields and the gap theorem -- 9. [actual symbol not reproducible] as a hyper-real field -- 10. Models and weak Cauchy completeness -- 11. Rigid fields and solid structures -- 12. Open questions.

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Subjects

Algebraic topology Corps ordonnés Ordered fields

Writers

Dales, H. G., (Harold G.) Woodin, W. H., (W. Hugh)

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