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There are two main constructions in classical descent theory: the category of algebras and the descent category, which are known to be examples of weighted bilimits.
A. Grothendieck. Technique de descente et théorems d’existence en géometrie algebrique, I. Generalitiés. Descente par morphismes fidélement plats
1959
Earlier work this paper cites.
J. Giraud. Méthode de la descente. Bull. Soc. Math. France Mém
1964
Earlier work this paper cites.
E. Dubuc. Adjoint triangles. 1968 Reports of the Midwest Category Seminar
1968
Earlier work this paper cites.
F.W. Lawvere. Ordinal sums and equational doctrines. Lecture Notes in math. 80, Springer (1969), 141–155
1969
Earlier work this paper cites.
J. Bénabou and J. Roubaud. Monades et descente. C. R. Acad. Sc. Paris, t
1970
Earlier work this paper cites.
E. Dubuc. Kan extensions in enriched category theory. Lecture Notes in Mathematics, Vol
1970
Earlier work this paper cites.
J.W. Gray. Quasi-Kan extensions for 2-categories. Bull. Amer. Math. Soc
1974
Earlier work this paper cites.
J.W. Gray. Formal category theory: adjointness for 2 2 -categories. Lecture Notes in Mathematics
1974
Earlier work this paper cites.
G.M. Kelly. Doctrinal adjunction. Category Seminar
1974
Earlier work this paper cites.
J. Duskin. Simplicial methods and the interpretation of “triple” cohomology. Mem. Am. Math. Soc. 163, 135 p. (1975)
1975
Earlier work this paper cites.
R.H. Street. Limits indexed by category-valued 2-functors. J. Pure Appl. Algebra
1976
Earlier work this paper cites.
R.H. Street. Fibrations in bicategories. Cahiers Topologie Géom. Diférentielle
1980
Earlier work this paper cites.
G.M. Kelly. Basic concepts of enriched category theory. London Mathematical Society Lecture Note Series
1982
Earlier work this paper cites.
S. Schanuel and R.H. Street. The free adjunction. Cahiers Topologie Géom. Diférentielle Catég
1986
Earlier work this paper cites.
R.H. Street. Correction to: “Fibrations in bicategories” Cahiers Topologie Géom. Différentielle Catég
1987
Earlier work this paper cites.
A.J. Power. A unified approach to the lifting of adjoints. Cahiers Topologie Géom. Différentielle Catég
1988
Cited alongside, same era.
G.J. Bird, G.M. Kelly, A.J. Power, R.H. Street. Flexible limits for 2-categories. J. Pure Appl. Algebra
1989
Cited alongside, same era.
R. Blackwell, G.M. Kelly and A.J. Power. Two-dimensional monad theory. J. Pure Appl. Algebra
1989
Cited alongside, same era.
A.J. Power. Coherence for bicategories with finite bilimits I. Categories in Computer Science and Logic, Contemporary Mathematics
1989
Cited alongside, same era.
G. Janelidze, D. Schumacher and R.Street. Galois theory in variable categories. Appl. Categ. Structures
1993
Cited alongside, same era.
S. Lack. Codescent objects and coherence. Special volume celebrating the 70th birthday of Professor Max Kelly. J. Pure Appl. Algebra
2002
Later among the works it cites.
I.J. Le Creurer, F. Marmolejo and E.M. Vitale. Beck’s theorem for pseudo-monads. J. Pure Appl. Algebra
2002
Later among the works it cites.
J.M. Beck. Triples, algebras and cohomology. Repr. Theory Appl. Categ. 2003, No.2, 1–59 (2003)
2003
Later among the works it cites.
M.M. Clementino and D. Hofmann. Effective descent morphisms in categories of lax algebras. Appl. Categ. Structures
2004
Later among the works it cites.
C. Hermida. Descent on 2 2 -fibrations and strongly regular 2 2 -categories. Appl. Categ. Struct
2004
Later among the works it cites.
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1994
Cited alongside, same era.
G. Janelidze and W. Tholen. Facets of descent I. Appl. Categ. Structures
1994
Cited alongside, same era.
J. Reiterman and W. Tholen. Effective descent maps of topological spaces. Topology Appl
1994
Cited alongside, same era.
G. Janelidze and W. Tholen. Facets of descent II. Appl. Categ. Structures
1997
Cited alongside, same era.
G.M. Kelly and S. Lack. On property-like structures. Theory Appl. Categ
1997
Cited alongside, same era.
S. Mac Lane. Categories for the working mathematician
1998
Cited alongside, same era.
I.J. Le Creurer, Descent of internal categories
1999
Cited alongside, same era.
2004
Later among the works it cites.
G. Janelidze and W. Tholen. Facets of descent III. Monadic descent for rings and algebras. Appl. Categ. Structures
2004
Later among the works it cites.
F. Marmolejo. Distributive laws for pseudomonads II. J. Pure Appl. Algebra
2004
Later among the works it cites.
R.H. Street. Categorical and combinatorial aspects of descent theory. Applied Categ. Structures
2004
Later among the works it cites.
M. Barr and C. Wells. Toposes, triples and theories. Corrected reprint of the 1985 original [MR0771116]. Repr. Theory Appl. Categ
2005
Later among the works it cites.
G. Janelidze. Descent and Galois Theory
2007
Later among the works it cites.
S. Lack. Icons, Appl. Categ. Structures 18
2010
Later among the works it cites.
M.M. Clementino and G. Janelidze. A note on effective descent morphisms of topological spaces and relational algebras. Topology Appl
2011
Later among the works it cites.
F. Lucatelli Nunes. On Biadjoint Triangles. Theory Appl. Categ
2016
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