Category Seminar pp 134-180 | Cite as

Elementary cosmoi I

• Authors
• Authors and affiliations

• Ross Street

Conference paper

First Online: 25 August 2006

• 7 Citations
• 3 Mentions
• 651 Downloads

Part of the Lecture Notes in Mathematics book series (LNM, volume 420)

Keywords

Full Subcategory Extension System Left Adjoint Enrich Category Terminal Object 

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Bibliography

1. [1]
   J. Benabou, Catégories avec multiplication. C.R. Acad. Sc. Paris 256 (1963) 1887–1890.MathSciNetzbMATHGoogle Scholar
2. [2]
   J. Benabou, Introduction to bicategories. Lecture Notes in Mathematics 47 (1967) 1–77.MathSciNetCrossRefGoogle Scholar
3. [3]
   J. Benabou and J. Roubaud, Monades et descente. C.R. Acad. Sc. Paris 270 (1970) 96–98.MathSciNetzbMATHGoogle Scholar
4. [4]
   C. Chevalley, Séminaire sur la descente 1964–65 (unpublished)Google Scholar
5. [5]
   B.J. Day and G.M. Kelly, Enriched functor categories. Lecture Notes in Math. 106 (1969) 178–191.MathSciNetCrossRefzbMATHGoogle Scholar
6. [6]
   E.J. Dubuc, Kan extensions in enriched category theory. Lecture Notes in Math. 145 (1970) 1–173.MathSciNetCrossRefzbMATHGoogle Scholar
7. [7]
   S. Eilenberg and G.M. Kelly, Closed categories. Proc. Conference on Categorical Algebra at La Jolla (Springer, 1966) 421–562.Google Scholar
8. [8]
   P. Freyd, Abelian categories. (Harper and Row, 1964)Google Scholar
9. [9]
   P. Freyd, Several new concepts. Lecture Notes in Math. 99 (1969) 196–241.MathSciNetCrossRefGoogle Scholar
10. [10]
    J.W. Gray, Report on the meeting of the Midwest Category Seminar in Zurich. Lecture Notes in Math. 195 (1971) 248–255.CrossRefGoogle Scholar
11. [11]
    J.W. Gray, Formal category theory. Springer Lecture Notes in Math. (to appear)Google Scholar
12. [12]
    G.M. Kelly and R.H. Street, Review of the elements of 2-categories. (this volume)Google Scholar
13. [13]
    J. Lambek, Subequalizers. Canad. Math. Bull. 13 (1970) 337–349.MathSciNetCrossRefzbMATHGoogle Scholar
14. [14]
    F.W. Lawvere, The category of categories as a foundation for mathematics. Proc. Conference on Categorical Algebra at La Jolla (Springer, 1966) 1–20.Google Scholar
15. [15]
    F.W. Lawvere, Ordinal sums and equational doctrines. Lecture Notes in Math. 80 (1969) 141–155.MathSciNetCrossRefzbMATHGoogle Scholar
16. [16]
    F.W. Lawvere, Equality in hyperdoctrines and comprehension schema as an adjoint functor. Proc. of Symposia in Pure Math. 17 (A.M.S. 1970) 1–14.MathSciNetCrossRefzbMATHGoogle Scholar
17. [17]
    F.W. Lawvere, Introduction. Lecture Notes in Mathematics 274 (1972) 1–12.MathSciNetCrossRefzbMATHGoogle Scholar
18. [18]
    F.W. Lawvere, Metric spaces, generalized logic, and closed categories. (Preprint from Istituto di Matematica, Università di Perugia, 1973)Google Scholar
19. [19]
    F.E.J. Linton, The multilinear Yoneda lemmas. Lecture Notes in Math. 195 (1971) 209–229.MathSciNetCrossRefzbMATHGoogle Scholar
20. [20]
    S. Mac Lane, Categories for the working mathematician. Graduate texts in Math. 5 (Springer 1971).Google Scholar
21. [21]
    R.H. Street, The formal theory of monads. Journal of Pure and Applied Algebra 2 (1972) 149–168.MathSciNetCrossRefzbMATHGoogle Scholar
22. [22]
    R.H. Street, Fibrations and Yoneda's lemma in a 2-category. (this volume)Google Scholar

Copyright information

© Springer-Verleg 1974

Authors and Affiliations

• Ross Street

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