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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): Boris Zilber
Title: Uncountably categorical theories
Additional book information: Translations of Mathematical Monographs, vol. 117, American Mathematical Society, Providence, RI, 1993, vi + 122 pp., US$97.00. ISBN 0-8218-4586-1


References:

[AZ]
G. Ahlbrandt and M. Ziegler, Quasi-finitely axiomatizable totally categorical theories, Ann. Pure Appl. Logic \textbf{30} (1986), 63--82.
[BL]
J. T. Baldwin and A. H. Lachlan, On strongly minimal sets, J. Symbolic Logic \textbf{36} (1971), 79--96.
[CHL]
G. Cherlin, L. Harrington, and A. H. Lachlan, $\omega $-Categorical, $\omega $-stable structures, Ann. Pure Appl. Logic \textbf{28} (1985), 103--135.
[E]
D. Evans, Homogeneous geometries, Proc. London Math. Soc. \textbf{18} (1986), 305--327.
[H1]
E. Hrushovski, \emph{Locally modular regular types}, Springer-Verlag, New York, 1987.
[H2]
E. Hrushovski, Totally categorical structures, Trans. Amer. Math. Soc. \textbf{313} (1989), 131--159.
[H3]
E. Hrushovski, Unimodular minimal structures, J. London Math. Soc. \textbf{46} (1992), 385--396.
[HZ]
H. Hrushovski and B. Zilber, Zariski geometries, Bull. Amer. Math. Soc. (N.S.) \textbf{28} (1993), 315--323.
[M]
M. Morley, Categoricity in power, Trans. Amer. Math. Soc. \textbf{114} (1965), 514--538.
[P]
E. A. Palyutin, Models with countably categorical universal theories, Algebra i Logika \textbf{10} (1971), 23--32.
[Sh]
S. Shelah, Classification theory \RM {(revised ed.)}, North-Holland, Amsterdam, 1990.


Additional Information:

Reviewer(s):
Anand Pillay

Review Information:
Journal: Bull. Amer. Math. Soc. 30 (1994), 302-308.
DOI: 10.1090/S0273-0979-1994-00473-2
PII: S 0273-0979(1994)00473-2


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