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   This review is available free of charge.
Book Information:

Authors: Michael Makkai and Robert Paré
Title: Accessible categories: The foundations of categorical model theory
Additional book information: Contemporary Mathematics, vol. 104, American Mathematical Society, Providence, RI, 1989, 176 pp., $31.00. ISBN 0-8218-5111-X.

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

  • 1. Théorie des topos et cohomologie étale des schémas. Tome 2, Lecture Notes in Mathematics, Vol. 270, Springer-Verlag, Berlin-New York, 1972 (French). Séminaire de Géométrie Algébrique du Bois-Marie 1963–1964 (SGA 4); Dirigé par M. Artin, A. Grothendieck et J. L. Verdier. Avec la collaboration de N. Bourbaki, P. Deligne et B. Saint-Donat. MR 0354653
  • 2. Jean Bénabou, Structures algébriques dans les catégories, Cahiers Topologie Géom. Différentielle 10 (1968), 1–126. MR 0244335
  • 3. R. Brown and T. Porter, Mathematics in context, a new course, U. C. N. W. Maths Preprint 90.09, School of Mathematics, The University of Wales, Bangor, Wales.
  • 4. Yves Diers, Catégories localement multiprésentables, Arch. Math. (Basel) 34 (1980), no. 4, 344–356 (French). MR 593951,
  • 5. Charles Ehresmann, Esquisses et types des structures algébriques, Bul. Inst. Politehn. Iaşi (N.S.) 14 (18) (1968), no. fasc. 1-2, 1–14 (French, with Romanian summary). MR 0238918
  • 6. Peter Gabriel and Friedrich Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Mathematics, Vol. 221, Springer-Verlag, Berlin-New York, 1971 (German). MR 0327863
  • 7. R. Guitart and C. Lair, Calcul syntaxique des modèles et calcul des formules internes, Diagrammes 4 (1980), GL1–GL106 (French). MR 684746
  • 8. R. Guitart and C. Lair, Limites et co-limites pour représenter les formules, Diagrammes 7 (1982), GL1–GL24 (French). MR 685055
  • 9. John R. Isbell, Small adequate subcategories, J. London Math. Soc. 43 (1968), 242–246. MR 0223423,
  • 10. John R. Isbell, General functorial semantics. I, Amer. J. Math. 94 (1972), 535–596. MR 0396718,
  • 11. C. Lair, Catégories modelables et catégories esquissables, Diagrammes 6 (1981), L1–L20 (French). MR 684535
  • 12. F. William Lawvere, Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 869–872. MR 0158921
  • 13. Daniel Lazard, Sur les modules plats, C. R. Acad. Sci. Paris 258 (1964), 6313–6316 (French). MR 0168625
  • 14. Michael Makkai and Gonzalo E. Reyes, First order categorical logic, Lecture Notes in Mathematics, Vol. 611, Springer-Verlag, Berlin-New York, 1977. Model-theoretical methods in the theory of topoi and related categories. MR 0505486
  • 15. F. Ulmer, Bialgebras in locally presentable categories, University of Wuppertal, 1977, preprint.

Review Information:

Reviewer: John W. Gray
Journal: Bull. Amer. Math. Soc. 25 (1991), 131-140