Bounds on transfer principles for algebraically closed and complete discretely valued fields / [electronic resource] Scott Shorey Brown.
Material type:
TextSeries: Memoirs of the American Mathematical Society ; no. 204.Publication details: Providence : American Mathematical Society, 1978Description: 1 online resource (iv, 92 p. : graphs)ISBN: 9781470403027 (online)Subject(s): Algebraic fields | Transfer functions | p-adic numbers | Valued fieldsAdditional physical formats: Bounds on transfer principles for algebraically closed and complete discretely valued fields /DDC classification: 510/.8 s | 512/.74 LOC classification: QA3 | .A57 no. 204 | QA247Online resources: Contents | Contents 
E-BOOKS
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|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12657 |
A revision of the author's thesis, Princeton University, 1976.
Bibliography: p. 89-90.
Includes index.
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 $Z_p$ and $p$ large XIV. Applications to the Ax-Kochen transfer principle and the Artin conjecture
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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