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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 \textbf{37} (1972), 487--493.
- [2]
- J. T. Baldwin, Classification theory and the number of nonisomorphic models \nofrills, (reviewed by S. Shelah), Bull. Amer. Math. Soc. (N.S.) \textbf{4} (1981).
- [3]
- J. T. Baldwin and A. H. Lachlan, On strongly minimal sets, J. Symbolic Logic \textbf{36} (1971), 79--96.
- [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 \rm (revised ed.) (reviewed by S. Shelah), J. Symbolic Logic \textbf{58} (1993), 1071--1074.
- [6]
- E. Hrushovski, A new strongly minimal set, Ann. Pure Appl. Logic \textbf{62} (1993), 147--166.
- [7]
- E. Hrushovski and Zeljko Sokolovi\'c, Minimal subsets of differentially closed fields \rm (submitted).
- [8]
- Ehud Hrushovski and Boris Zilber, Zariski geometries, Bull. Amer. Math. Soc. (N.S.) \textbf{28} (1993), 315--324.
- [9]
- J. Denef and L. van den Dries, $p$-Adic and real subanalytic sets, Ann. of Math. (2) \textbf{128} (1988), 79--138.
- [10]
- H. J. Keisler, Model theory for infinitary logic, North-Holland, Amsterdam, 1971.
- [11]
- J. \L os, On the categoricity in power of elementary deductive systems and related problems, Colloq. Math. \textbf{3} (1954), 58--62.
- [12]
- Angus J. Macintyre, On definable subsets of $p$-adic fields, J. Symbolic Logic \textbf{41} (1976), 605--610.
- [13]
- M. Messmer, Groups and fields interpretable in separably closed fields, Trans. Amer. Math. Soc. \textbf{344} (1994), 361--379.
- [14]
- M. Morley, Categoricity in power, Trans. Amer. Math. Soc. \textbf{114} (1965), 514--538.
- [15]
- S. Shelah, Classification of first order theories which have a structure theory, Bull. Amer. Math. Soc. (N.S.) \textbf{12} (1985), 227--232.
- [16]
- S. Shelah, Classification theory and the number of nonisomorphic models, second ed., North-Holland, Amsterdam, 1991.
- [17]
- Alfred Tarski, Sur les ensemble d\'efinissable de nombres r\'eels i, Fund. Math. \textbf{17} (1931), 210--239.
- [18]
- A. Wilkie, Model completeness results for expansions of the real field by restricted pfaffian functions and exponentiation.
- [19]
- B. I. Zil\cprime 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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