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Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1978Copyright date: ©1978Edition: 1st edDescription: 1 online resource (99 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470403027
Subject(s): Genre/Form: Additional physical formats: Print version:: Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued FieldsDDC classification:
  • 510/.8 s;512/.74
LOC classification:
  • QA247 -- .B76 1978eb
Online resources:
Contents:
Intro -- Table of Contents -- Abstract -- Acknowledgements -- I. Introduction -- II. Prerequisites in Logic -- III. Methods for Limitation of Quantifiers -- IV. Additive Rational Numbers -- V. Additive Integers -- VI. Projection of a Set of Polynomials -- VII. Real Numbers -- VIII. Valued Fields -- IX. Algebraically Closed Fields -- X. Convergent Power Series Over Complete Algebraically Closed Valued Fields -- XI. Hensel's Lemma -- XII. Convergence of Series Solutions of Polynomials -- XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large -- XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture -- Bibliography -- Notation -- Index.
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Intro -- Table of Contents -- Abstract -- Acknowledgements -- I. Introduction -- II. Prerequisites in Logic -- III. Methods for Limitation of Quantifiers -- IV. Additive Rational Numbers -- V. Additive Integers -- VI. Projection of a Set of Polynomials -- VII. Real Numbers -- VIII. Valued Fields -- IX. Algebraically Closed Fields -- X. Convergent Power Series Over Complete Algebraically Closed Valued Fields -- XI. Hensel's Lemma -- XII. Convergence of Series Solutions of Polynomials -- XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large -- XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture -- Bibliography -- Notation -- Index.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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