Elementary cosmoi I

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C. Chevalley, Séminaire sur la descente 1964–65 (unpublished)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

Download references

Authors

Ross Street
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Gregory M. Kelly

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Street, R. (1974). Elementary cosmoi I. In: Kelly, G.M. (eds) Category Seminar. Lecture Notes in Mathematics, vol 420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063103

Download citation

DOI: https://doi.org/10.1007/BFb0063103
Published: 25 August 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06966-9
Online ISBN: 978-3-540-37270-7
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Elementary cosmoi I

Access this chapter

Preview

Bibliography