LEADER 02631nam 2200613 450 001 9910788891503321 005 20170816143305.0 010 $a1-4704-0302-1 035 $a(CKB)3360000000464388 035 $a(EBL)3113646 035 $a(SSID)ssj0000973189 035 $a(PQKBManifestationID)11514564 035 $a(PQKBTitleCode)TC0000973189 035 $a(PQKBWorkID)10959857 035 $a(PQKB)11015544 035 $a(MiAaPQ)EBC3113646 035 $a(RPAM)2263671 035 $a(PPN)195410874 035 $a(EXLCZ)993360000000464388 100 $a20780501h19781978 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBounds on transfer principles for algebraically closed and complete discretely valued fields /$fScott Shorey Brown 210 1$aProvidence :$cAmerican Mathematical Society,$d[1978] 210 4$dİ1978 215 $a1 online resource (99 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 204 300 $aA revision of the author's thesis, Princeton University, 1976. 300 $aIncludes index. 311 $a0-8218-2204-7 320 $aBibliography: pages 89-90. 327 $a""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"" 327 $a""XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large""""XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture""; ""Bibliography""; ""Notation""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 204. 606 $aAlgebraic fields 606 $aTransfer functions 606 $ap-adic numbers 606 $aValued fields 615 0$aAlgebraic fields. 615 0$aTransfer functions. 615 0$ap-adic numbers. 615 0$aValued fields. 676 $a512/.74 700 $aBrown$b Scott Shorey$f1951-$01545057 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788891503321 996 $aBounds on transfer principles for algebraically closed and complete discretely valued fields$93799706 997 $aUNINA