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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

The comprehensive factorization of a functor


Authors: Ross Street and R. F. C. Walters
Journal: Bull. Amer. Math. Soc. 79 (1973), 936-941
MSC (1970): Primary 18A20; Secondary 18A25, 18A40, 18D05, 18D30
MathSciNet review: 0346027
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References [Enhancements On Off] (What's this?)

  • 1. Peter Freyd, Aspect of topoi, Bull. Austral. Math. Soc. 7 (1972), 1–76. MR 0396714 (53 #576)
  • 2. P. J. Freyd and G. M. Kelly, Categories of continuous functors. I, J. Pure Appl. Algebra 2 (1972), 169–191. MR 0322004 (48 #369)
  • 3. John W. Gray, The categorical comprehension scheme, Category Theory, Homology Theory and their Applications, III (Battelle Institute Conference, Seattle, Wash., 1968, Vol. Three), Springer, Berlin, 1969, pp. 242–312. MR 0249483 (40 #2728)
  • 4. F. William Lawvere, Equality in hyperdoctrines and comprehension schema as an adjoint functor, Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 1–14. MR 0257175 (41 #1829)
  • 5. Saunders MacLane, Categories for the working mathematician, Springer-Verlag, New York-Berlin, 1971. Graduate Texts in Mathematics, Vol. 5. MR 0354798 (50 #7275)
  • 6. R. H. Street, Elementary cosmoi, Proc. Sydney Category Seminar (1972), Lecture Notes in Math., Springer-Verlag, Berlin, 1973.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13268-9
PII: S 0002-9904(1973)13268-9