Bulletin of the American Mathematical Society

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Book Information:

Author: Daniel Lascar
Title: Stability in model theory
Additional book information: Translated by J. E. Wallington. Pitman Monographs and Survey in Pure and Applied Mathematics, vol. 36, Longman Scientific and Technical, Essex, 1987, 193 pp., $77.95. ISBN 0-470-20386-2.

John T. Baldwin, Fundamentals of stability theory, Perspectives in Mathematical Logic, Springer-Verlag, Berlin, 1988. MR 918762, DOI 10.1007/978-3-662-07330-8

Daniel Lascar, Relation entre le rang $U$ et le poids, Fund. Math. 121 (1984), no. 2, 117–123 (French, with English summary). MR 765327, DOI 10.4064/fm-121-2-117-123

J. Łoś, On the categoricity in power of elementary deductive systems and some related problems, Colloq. Math. 3 (1954), 58–62. MR 61561, DOI 10.4064/cm-3-1-58-62

Michael Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514–538. MR 175782, DOI 10.1090/S0002-9947-1965-0175782-0

J. P. Ressayre, Sur les théories du premier ordre catégoriques en un cardinal, Trans. Amer. Math. Soc. 142 (1969), 481–505 (French). MR 246762, DOI 10.1090/S0002-9947-1969-0246762-5

S. Shelah, Stable theories, Israel J. Math. 7 (1969), 187–202. MR 253889, DOI 10.1007/BF02787611

Saharon Shelah, Categoricity of uncountable theories, Proceedings of the Tarski Symposium (Proc. Sympos. Pure Math., Vol. XXV, Univ. California, Berkeley, Calif., 1971) Amer. Math. Soc., Providence, R.I., 1974, pp. 187–203. MR 0373874

Saharon Shelah, Classification theory and the number of nonisomorphic models, Studies in Logic and the Foundations of Mathematics, vol. 92, North-Holland Publishing Co., Amsterdam-New York, 1978. MR 513226

[Sh4] S. Shelah, The spectrum problem I, א, Israel J. Math. 43 (1982), 324-356.

Saharon Shelah, The spectrum problem. I. $\aleph _{\varepsilon }$-saturated models, the main gap, Israel J. Math. 43 (1982), no. 4, 324–356. MR 693353, DOI 10.1007/BF02761237

Alfred Tarski, Some notions and methods on the borderline of algebra and metamathematics, Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 1, Amer. Math. Soc., Providence, R.I., 1952, pp. 705–720. MR 0045068

[Ba] J. T. Baldwin, Fundamentals of stability theory, Perspectives in Mathematical Logic, Springer-Verlag, Berlin and New York, 1988, xiii+ 447 pp. MR 0918762




[La] D. Lascar, Relation entre le rang U et le poids, Fund. Math. 121 (1984), 117-123. MR 765327




[Ło] J. Łos, On the categoricity in power of elementary deductive systems and related problems, Colloq. Math. 3 (1954), 58-62. MR 61561




[Mo] M. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514-538. MR 175782




[Re] J.-P. Ressayre, Sur les théories du premier ordre catégorique en un cardinal, Trans. Amer. Math. Soc. 142 (1969), 481-505. MR 246762




[Sh1] S. Shelah, Stable theories, Israel J. Math. 7 (1969), 187-202. MR 253889




[Sh2] S. Shelah, Categoricity of uncountable theories, Proc. Tarski Symposium (L. Henkin ed. et al.), Amer. Math. Soc., 1974, pp. 187-203. MR 373874




[Sh3] S. Shelah, Classification theory and the number of nonisomorphic models, North-Holland, 1978, xvi + 544 pp. MR 513226




[Sh4] S. Shelah, The spectrum problem I, א, Israel J. Math. 43 (1982), 324-356.




[Sh5] S. Shelah, The spectrum problem II, Totally transcendantal theories and the infinite depth case, Israel J. Math. 43 (1982), 357-364. MR 693354




[Ta] A. Tarski, Some notions and methods on the borderline of algebra and metamathematics, Proc. Internat. Congr. Math., Providence, R.I., 1950, 1952, pp. 705-720. MR 45068