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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:
-
- [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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