Bulletin of the American Mathematical Society
- Bull. Amer. Math. Soc.
- Volume 72, Number 4 (1966), 619-655.
Structure of categories
Full-text: Open access
Article information
Source
Bull. Amer. Math. Soc., Volume 72, Number 4 (1966), 619-655.
Dates
First available in Project Euclid: 4 July 2007
Permanent link to this document
https://projecteuclid.org/euclid.bams/1183528163
Mathematical Reviews number (MathSciNet)
MR0206071
Zentralblatt MATH identifier
0142.25401
Citation
Isbell, John R. Structure of categories. Bull. Amer. Math. Soc. 72 (1966), no. 4, 619--655. https://projecteuclid.org/euclid.bams/1183528163
References
- 1. B. Eckmann and P. Hilton, Group-like structures in general categories. II, Equalizers, limits, lengths, Math. Ann. 151 (1963), 150-186.Zentralblatt MATH: 0115.01403
Mathematical Reviews (MathSciNet): MR153720
Digital Object Identifier: doi:10.1007/BF01344176 - 2. P. Freyd, Abelian categories, Harper and Row, New York, 1964.
- 3. H. Gaifman, Infinite Boolean polynomials, Fund. Math. 54 (1964), 229-250.
- 4. A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J. (2) 9 (1957), 119-221.Zentralblatt MATH: 0118.26104
Mathematical Reviews (MathSciNet): MR102537
Project Euclid: euclid.tmj/1178244839 - 5. A. Hales, On the non-existence of free complete Boolean algebras, Fund. Math. 54 (1964), 45-66.
- 6. J. Isbell, Adequate subcategories, Illinois J. Math. 4 (1960), 541-552.Zentralblatt MATH: 0104.01704
Mathematical Reviews (MathSciNet): MR175954
Project Euclid: euclid.ijm/1255456274 - 7. J. Isbell, Two set-theoretical theorems in categories, Fund. Math. 53 (1963), 43-49.
- 8. J. Isbell, Subobjects, adequacy, completeness and categories of algebras, Rozprawy Mat. 36 (1964), 32 pp.
- 9. J. Isbell, Epimorphisms and dominions, Proc. Conference on Categorical Algebra (La Jolla, 1965) (to appear).
- 10. D. Kan, Adjoint functors, Trans. Amer. Math. Soc. 94 (1958), 294-329.Zentralblatt MATH: 0090.38906
Mathematical Reviews (MathSciNet): MR131451
Digital Object Identifier: doi:10.1090/S0002-9947-1958-0131451-0 - 11. F. Lawvere, Functorial semantics of algebraic theories, thesis, Columbia University, 1963.
- 12. S. MacLane, Categorical algebra, Bull. Amer. Math. Soc. 71 (1965), 40-106.Zentralblatt MATH: 0161.01601
Mathematical Reviews (MathSciNet): MR171826
Digital Object Identifier: doi:10.1090/S0002-9904-1965-11234-4
Project Euclid: euclid.bams/1183526392 - 13. J. Shepherdson, Inner models for set theory. III, J. Symbolic Logic 18 (1953), 145-167.Zentralblatt MATH: 0051.03801
Mathematical Reviews (MathSciNet): MR57828
Digital Object Identifier: doi:10.2307/2268947
American Mathematical Society

- You have access to this content.
- You have partial access to this content.
- You do not have access to this content.
More like this
- Chu correspondences
MORI, Hideo, Hokkaido Mathematical Journal, 2008 - Fibration categories are fibrant relative categories
Meier, Lennart, Algebraic & Geometric Topology, 2016 - Associahedra and weak monoidal structures on categories
Fiedorowicz, Zbigniew, Gubkin, Steven, and Vogt, Rainer M, Algebraic & Geometric Topology, 2012
- Chu correspondences
MORI, Hideo, Hokkaido Mathematical Journal, 2008 - Fibration categories are fibrant relative categories
Meier, Lennart, Algebraic & Geometric Topology, 2016 - Associahedra and weak monoidal structures on categories
Fiedorowicz, Zbigniew, Gubkin, Steven, and Vogt, Rainer M, Algebraic & Geometric Topology, 2012 - Topological $\ast$-autonomous categories, revisited
Barr, Michael, Tbilisi Mathematical Journal, 2017 - The Brown-Golasiński model structure on strict ∞-groupoids revisited
Ara, Dimitri and Métayer, François, Homology, Homotopy and Applications, 2011 - Homotopy theory of nonsymmetric operads
Muro, Fernando, Algebraic & Geometric Topology, 2011 - Adding inverses to diagrams II: Invertible homotopy theories are spaces
Bergner, Julia E., Homology, Homotopy and Applications, 2008 - Local and stable homological algebra in Grothendieck abelian categories
Cisinski, Denis-Charles and Déglise, Frédéric, Homology, Homotopy and Applications, 2009 - Rigidification of algebras over multi-sorted theories
Bergner, Julia E, Algebraic & Geometric Topology, 2006 - Generalized spectral categories, topological Hochschild homology and trace maps
Tabuada, Gonçalo, Algebraic & Geometric Topology, 2010
