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Book Review
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Book Information
Author(s):
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:
- 1.
- M. Artin, A. Grothendieck and J. L. Verdier, Théorie des topos et cohomologic etalé des schémas, Lecture Notes in Math., vol 269, Springer-Verlag, Berlin and New York, 1972. MR 354653
- 2.
- J. Benabou, Structures algébrique dans les catégories, Cahiers Topologie Géom. Différentielle Categoriques 10 (1968), 1-126. MR 244335
- 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.
- Y. Diers, Catégories localement multiprésentables, Arch. Math. 34 (1980), 344-356. MR 593951
- 5.
- C. Ehresmann, Esquisses et types de structures algébriques, Bull. Instit. Polit., Iasi 14 (1968), 1-14. MR 238918
- 6.
- P. Gabriel and F. Ulmer, Lokal präsentierbare Kategories, Lecture Notes in Math., vol. 221, Springer-Verlag, Berlin and New York, 1971. MR 327863
- 7.
- R. Guitart et C. Lair, Calcul syntaxique des modeles et calcul des formules internes, Diagrammes 4 (1980), 1-106. MR 684746
- 8.
- R. Guitart et C. Lair, Limites et co-limites pour représenter les formules, Diagrammes 7 (1982), GL1-GL24. MR 685055
- 9.
- J. Isbell, Small adequate subcategories, J. London Math. Soc. 43 (1968), 242-246. MR 223423
- 10.
- J. Isbell, General functorial semantics, I, Amer. J. Math. 94 (1972), 535-596. MR 396718
- 11.
- C. Lair, Catégories modelables et catégories esquissables, Diagrammes 6 (1981), L1-L20. MR 684535
- 12.
- F. W. Lawvere, Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. U. S. A. 50 (1963), 869-872. MR 158921
- 13.
- D. Lazard, Sur les modules plats, Comp. Rend. Acad. Sci. Paris 258 (1964), 6313-6316. MR 168625
- 14.
- M. Makkai and G. Reyes, First order categorical logic, Lecture Notes in Math., vol. 611, Springer-Verlag, Berlin and New York, 1977. MR 505486
- 15.
- F. Ulmer, Bialgebras in locally presentable categories, University of Wuppertal, 1977, preprint.
Additional Information:
Reviewer(s):
John W.
Gray
Review Information:
Journal:
Bull. Amer. Math. Soc.
25
(1991),
131-140.
DOI:
10.1090/S0273-0979-1991-16045-3
PII:
S 0273-0979(1991)16045-3
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