Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF
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.

References [Enhancements On Off] (What's this?)

  • 1. R. Barthes, Texte (théorie du), Encyclopaedia Universalis, 1968 ed., vol. 15, Paris, 1973, pp. 1013-1017 (and subsequent editions).
  • 2. 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, 10.1016/S0049-237X(09)70547-6
  • 3. S. Buechler and A. Pillay, Geometrical stability theory (in preparation).
  • 4. Wilfrid Hodges, What is a structure theory?, Bull. London Math. Soc. 19 (1987), no. 3, 209–237. MR 879509, 10.1112/blms/19.3.209
  • 5. 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
  • 6. Daniel Lascar, Théorie de la classification, Astérisque 152-153 (1987), 5, 253–261 (1988) (French). Séminaire Bourbaki, Vol. 1986/87. MR 936858
  • 7. 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
  • 8. Anand Pillay, An introduction to stability theory, Oxford Logic Guides, vol. 8, The Clarendon Press, Oxford University Press, New York, 1983. MR 719195
  • 9. Bruno Poizat, Groupes stables, Nur al-Mantiq wal-Maʾrifah [Light of Logic and Knowledge], 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
  • 10. Mike Prest, Model theory and modules, London Mathematical Society Lecture Note Series, vol. 130, Cambridge University Press, Cambridge, 1988. MR 933092
  • 11. 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.
  • 13. 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, 10.1090/S0273-0979-1985-15354-6
  • 14. 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

Review Information:

Reviewer: Gregory L. Cherlin
Journal: Bull. Amer. Math. Soc. 20 (1989), 185-190
DOI: http://dx.doi.org/10.1090/S0273-0979-1989-15757-1