TY  - BOOK
AU  - Brown,Scott Shorey
TI  - Bounds on transfer principles for algebraically closed and complete discretely valued fields
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470403027 (online)
AV  - QA3QA247 .A57 no. 204
U1  - 510/.8 s512/.74 
PY  - 1978///
CY  - Providence
PB  - American Mathematical Society
KW  - Algebraic fields
KW  - Transfer functions
KW  - p-adic numbers
KW  - Valued fields
N1  - A revision of the author's thesis, Princeton University, 1976; Includes index; Bibliography: p. 89-90; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0204
UR  - http://dx.doi.org/10.1090/memo/0204
ER  -