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Available in print format 		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:

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G. Ahlbrandt and M. Ziegler, Quasi-finitely axiomatizable totally categorical theories, Ann. Pure Appl. Logic 30 (1986), 63-82. MR 831437 (87k:03026)

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

[CHL]
G. Cherlin, L. Harrington, and A. H. Lachlan, $ \omega $-Categorical, $ \omega $-stable structures, Ann. Pure Appl. Logic 28 (1985), 103-135. MR 779159 (86g:03054)

[E]
D. Evans, Homogeneous geometries, Proc. London Math. Soc. 18 (1986), 305-327. MR 818929 (87f:51018)

[H1]
E. Hrushovski, Locally modular regular types, Classification Theory (J. T. Baldwin, ed.), Lecture Notes in Math., vol. 1292, Springer-Verlag, New York, 1987. MR 1033027 (90m:03064)

[H2]
-, Totally categorical structures, Trans. Amer. Math. Soc. 313 (1989), 131-159. MR 943605 (90f:03064)

[H3]
-, Unimodular minimal structures, J. London Math. Soc. 46 (1992), 385-396. MR 1190425 (94b:03062)

[HZ]
H. Hrushovski and B. Zilber, Zariski geometries, Bull. Amer. Math. Soc. (N.S.) 28 (1993), 315-323. MR 1183999 (93j:14003)

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

[P]
E. A. Palyutin, Models with countably categorical universal theories, Algebra i Logika 10 (1971), 23-32. MR 0288016 (44:5214)

[Sh]
S. Shelah, Classification theory (revised ed.), North-Holland, Amsterdam, 1990. MR 1083551 (91k:03085)

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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