Bounds on transfer principles for algebraically closed and complete discretely valued fields / Scott Shorey Brown.

Format:

Book

Author/Creator:

Brown, Scott Shorey, 1951- author.

Series:

Memoirs of the American Mathematical Society ; no. 204.

Memoirs of the American Mathematical Society ; number 204

Language:

English

Subjects (All):

Algebraic fields.

Transfer functions.

p-adic numbers.

Valued fields.

Physical Description:

1 online resource (99 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, [1978]

Language Note:

English

Contents:

""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""

Notes:

A revision of the author's thesis, Princeton University, 1976.

Includes index.

Bibliography: pages 89-90.

Description based on print version record.

ISBN:

1-4704-0302-1