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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Wilfrid Hodges
Title: Model theory
Additional book information: {Encyclopedia of Mathematics and its Applications, vol. 42}, Cambridge University Press, Cambridge, 1993, xiii + 772 pp., US$99.95. ISBN 0-521-30442-3


References:

Bibliography

[1]
J. T. Baldwin, Almost strongly minimal theories, J. Symbolic Logic 37 (1972), 487-493. MR 0321722 (48:89)

[2]
-, Classification theory and the number of nonisomorphic models (reviewed by S. Shelah), Bull. Amer. Math. Soc. (N.S.) 4 (1981), 222. MR 1567308

[3]
J. T. Baldwin and A. H. Lachlan, On strongly minimal sets, J. Symbolic Logic 36 (1971), 79-96. MR 0286642 (44:3851)

[4]
C. C. Chang and H. J. Keisler, Model theory, North-Holland, Amsterdam, 1973.

[5]
Bradd Hart, Classification theory and the number of nonisomorphic models (revised ed.) (reviewed by S. Shelah), J. Symbolic Logic 58 (1993), 1071-1074.

[6]
E. Hrushovski, A new strongly minimal set, Ann. Pure Appl. Logic 62 (1993), 147-166. MR 1226304 (94d:03064)

[7]
E. Hrushovski and Zeljko Sokolović, Minimal subsets of differentially closed fields (submitted).

[8]
Ehud Hrushovski and Boris Zilber, Zariski geometries, Bull. Amer. Math. Soc. (N.S.) 28 (1993), 315-324. MR 1183999 (93j:14003)

[9]
J. Denef and L. van den Dries, p-Adic and real subanalytic sets, Ann. of Math. (2) 128 (1988), 79-138. MR 951508 (89k:03034)

[10]
H. J. Keisler, Model theory for infinitary logic, North-Holland, Amsterdam, 1971. MR 0344115 (49:8855)

[11]
J. Los, On the categoricity in power of elementary deductive systems and related problems, Colloq. Math. 3 (1954), 58-62. MR 0061561 (15:845c)

[12]
Angus J. Macintyre, On definable subsets of p-adic fields, J. Symbolic Logic 41 (1976), 605-610. MR 0485335 (58:5182)

[13]
M. Messmer, Groups and fields interpretable in separably closed fields, Trans. Amer. Math. Soc. 344 (1994), 361-379. MR 1231337 (95c:03086)

[14]
M. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514-538. MR 0175782 (31:58)

[15]
S. Shelah, Classification of first order theories which have a structure theory, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 227-232. MR 776474 (86h:03058)

[16]
-, Classification theory and the number of nonisomorphic models, second ed., North-Holland, Amsterdam, 1991.

[17]
Alfred Tarski, Sur les ensemble définissable de nombres réels i, Fund. Math. 17 (1931), 210-239.

[18]
A. Wilkie, Model completeness results for expansions of the real field by restricted pfaffian functions and exponentiation (to appear).

[19]
B. I. Zil'ber, Uncountably categorical theories, Transl. Math. Monographs, vol. 117, Amer. Math. Soc., Providence, RI, 1991.


Additional Information:

Reviewer(s):
John T. Baldwin

Review Information:
Journal: Bull. Amer. Math. Soc. 32 (1995), 280-285.
DOI: 10.1090/S0273-0979-1995-00578-1
PII: S 0273-0979(1995)00578-1




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