Bulletin of the American Mathematical Society

MathSciNet review: 1567746
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Book Information:

Author: John T. Baldwin
Title: Fundamentals of stability theory
Additional book information: Perspectives in Mathematical Logic, Springer-Verlag, Berlin, Heidelberg, New York, 1988, xiii + 447 pp., $60.00. ISBN 3-540-15298-9.

1.

R. Barthes, Texte (théorie du), Encyclopaedia Universalis, 1968 ed., vol. 15, Paris, 1973, pp. 1013-1017 (and subsequent editions).

Steven Buechler, “Geometrical” stability theory, Logic colloquium ’85 (Orsay, 1985) Stud. Logic Found. Math., vol. 122, North-Holland, Amsterdam, 1987, pp. 53–66. MR 895638, DOI 10.1016/S0049-237X(09)70547-6

3.

S. Buechler and A. Pillay, Geometrical stability theory (in preparation).

Wilfrid Hodges, What is a structure theory?, Bull. London Math. Soc. 19 (1987), no. 3, 209–237. MR 879509, DOI 10.1112/blms/19.3.209

A. H. Lachlan, Homogeneous structures, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986) Amer. Math. Soc., Providence, RI, 1987, pp. 314–321. MR 934229

Daniel Lascar, Théorie de la classification, Astérisque 152-153 (1987), 5, 253–261 (1988) (French). Séminaire Bourbaki, Vol. 1986/87. MR 936858

Daniel Lascar, Stability in model theory, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 36, Longman Scientific & Technical, Harlow; John Wiley & Sons, Inc., New York, 1987. Translated from the French by J. E. Wallington. MR 925824

Anand Pillay, An introduction to stability theory, Oxford Logic Guides, vol. 8, The Clarendon Press, Oxford University Press, New York, 1983. MR 719195

Bruno Poizat, Groupes stables, Nur al-Mantiq wal-Maʾrifah [Light of Logic and Knowledge], vol. 2, Bruno Poizat, Lyon, 1987 (French). Une tentative de conciliation entre la géométrie algébrique et la logique mathématique. [An attempt at reconciling algebraic geometry and mathematical logic]. MR 902156

Mike Prest, Model theory and modules, London Mathematical Society Lecture Note Series, vol. 130, Cambridge University Press, Cambridge, 1988. MR 933092, DOI 10.1017/CBO9780511600562

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

12.

S. Shelah, Why am I so happy? Abstracts Amer. Math. Soc., 3 (1982), 282.

Saharon Shelah, Classification of first order theories which have a structure theorem, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 2, 227–232. MR 776474, DOI 10.1090/S0273-0979-1985-15354-6

Saharon Shelah, Taxonomy of universal and other classes, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986) Amer. Math. Soc., Providence, RI, 1987, pp. 154–162. MR 934221

1.

R. Barthes, Texte (théorie du), Encyclopaedia Universalis, 1968 ed., vol. 15, Paris, 1973, pp. 1013-1017 (and subsequent editions).

2.

S. Buechler, Geometrical stability theory, Logic Coloquium '85, ed., Paris Logic Group, North-Holland, New York, 1987. MR 0895638

3.

S. Buechler and A. Pillay, Geometrical stability theory (in preparation).

4.

W. Hodges, What is a structure theory?, Bull. London Math. Soc. 19 (1987), 209-237. MR 879509

5.

A. H. Lachlan, Homogeneous structures, Proc. Internat. Congr. Math. Berkeley, California, 1986, pp. 314-321. MR 934229

6.

D. Lascar, La théorie de la classification, Sém. Bourbaki 682, 1986-1987 (June 1987). MR 936858

7.

D. Lascar, Stability in model theory, translated by J. E. Wallington, Pitman Monograph, Longman/John Wiley, Essex/New York, 1987 (French edition IMPA, UCL, Louvain, 1986), 193 pp. MR 925824

8.

A. Pillay, An introduction to stability theory, Oxford Logic Guides 8, Oxford University Press, Oxford, 1983, xi + 143 pp. MR 719195

9.

B. I. Poizat, Groupes stables, Nur al-Mantiq wal-Ma'rifah, Villeurbanne, 1987 (illustrated). MR 902156

10.

M. Prest, Model theory of modules, Cambridge Univ. Press, New York, 1988, viii + 380 pp. MR 933092

11.

S. Shelah, Classification theory and the number of nonisomorphic models, North-Holland, 1978, xvi+544 pp.; second edition monstrously revised and expanded (to appear). MR 513226

12.

S. Shelah, Why am I so happy? Abstracts Amer. Math. Soc., 3 (1982), 282.

13.

S. Shelah, Classification of first order theories which have a structure theory, Bull. Amer. Math. Soc. (N.S). 12 (1985), 227-232. MR 776474

14.

S. Shelah, Taxonomy of universal and other classes, Proc. Internat. Congr. Math., Berkeley, California, 1986, pp. 154-162. MR 934221