02631nam 2200613 450 991081721720332120170816143305.01-4704-0302-1(CKB)3360000000464388(EBL)3113646(SSID)ssj0000973189(PQKBManifestationID)11514564(PQKBTitleCode)TC0000973189(PQKBWorkID)10959857(PQKB)11015544(MiAaPQ)EBC3113646(RPAM)2263671(PPN)195410874(EXLCZ)99336000000046438820780501h19781978 uy| 0engur|n|---|||||txtccrBounds on transfer principles for algebraically closed and complete discretely valued fields /Scott Shorey BrownProvidence :American Mathematical Society,[1978]©19781 online resource (99 p.)Memoirs of the American Mathematical Society ;number 204A revision of the author's thesis, Princeton University, 1976.Includes index.0-8218-2204-7 Bibliography: pages 89-90.""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""Memoirs of the American Mathematical Society ;no. 204.Algebraic fieldsTransfer functionsp-adic numbersValued fieldsAlgebraic fields.Transfer functions.p-adic numbers.Valued fields.512/.74Brown Scott Shorey1951-1631840MiAaPQMiAaPQMiAaPQBOOK9910817217203321Bounds on transfer principles for algebraically closed and complete discretely valued fields3970656UNINA