Representability relative to a doctrine
Karazeris, Panagis ; Velebil, Jiří
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009), p. 3-22 / Harvested from Numdam
Publié le : 2009-01-01
@article{CTGDC_2009__50_1_3_0,
     author = {Karazeris, Panagis and Velebil, Ji\v r\'\i },
     title = {Representability relative to a doctrine},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {50},
     year = {2009},
     pages = {3-22},
     mrnumber = {2512520},
     zbl = {1190.18001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2009__50_1_3_0}
}
Karazeris, Panagis; Velebil, Jiří. Representability relative to a doctrine. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) pp. 3-22. http://gdmltest.u-ga.fr/item/CTGDC_2009__50_1_3_0/

[AK] M. H. Albert and G. M. Kelly, The closure of a class of colimits, Jour. Pure Appl. Alg. 51 (1988), 1-17 | MR 941885 | Zbl 0656.18004

[ABLR] J. Adámek, F. Borceux, S. Lack and J. Rosický, A classification of accessible categories, Jour. Pure Appl. Alg. 175 (2002), 7-30 | MR 1935970 | Zbl 1010.18005

[AR1] J. Adámek and J. Rosický, Locally Presentable and Accessible Categories, Cambridge University Press, 1994 | MR 1294136 | Zbl 0795.18007

[AR2] J. Adámek and J. Rosický, On sifted colimits and generalized varieties, Theor. Appl Categ. 8 (2001), 33-53 | MR 1815045 | Zbl 0971.18004

[Be] A. Beligiannis, On the Freyd categories of an additive category, Homology Homotopy Appl. 2 (2000), 147-185 | MR 2027559 | Zbl 1066.18008

[Bi] G. J. Bird, Limits in 2-categories of locally presented categories, Ph. D. Thesis, The University of Sydney, 1984

[BTh] R. Börger and W. Tholen, Abschwächungen des Adjunktionsbegriffs, Manuscripta Math. 19 (1976), 19-45 | MR 432731 | Zbl 0329.18005

[C] R. R. Colby, Rings which have flat injective modules, J. Algebra 35 (1975), 239-252 | MR 376763 | Zbl 0306.16015

[D] B. J. Day, On closed categories of functors, Reports of the Midwest Category Seminar VI, Lecture Notes in Mathematics 137, Springer 1970, 1-38 | MR 272852

[DL] B. J. Day and S. Lack, Limits of small functors, Jour. Pure Appl. Alg. 210(3) (2007), 651-663 | MR 2324597 | Zbl 1120.18001

[DS] B. Day and R. Street, Quantum categories, star autonomy, and quantum groupoids, manuscript, April 2003 | Zbl 1067.18006

[Di] Y. Diers, Catégories Localisables, Thèse de Doctorat d'Etat, Université de Paris VI, 1977

[FS] P. Freyd and A. Scedrov, Categories, Allegories, North Holland, 1990 | MR 1071176 | Zbl 0698.18002

[GU] P. Gabriel and F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Mathematics 221, Springer 1971 | MR 327863 | Zbl 0225.18004

[KRV] P. Karazeris, J. Rosický and J. Velebil, Limits in cocompletions, Jour. Pure Appl. Alg. 196 (2005), 229-250 | MR 2110524 | Zbl 1068.18002

[K1] G. M. Kelly, Basic Concepts of Enriched Category Theory, London Math. Soc. Lecture Notes Series 64, Cambridge Univ. Press, 1982, also available as TAC reprint via http://www.tac.mta.ca/tac/reprints/articles/10/tr10abs.html | Zbl 0478.18005

[K2] G. M. Kelly, Structures defined by finite limits in the enriched context I, Cahiers de Top. et Géom. Diff. XXIII. 1 (1982), 3-42 | Numdam | MR 648793 | Zbl 0538.18006

[KS] G. M. Kelly and V. Schmitt, Notes on enriched categories with colimits of some class, Theor. Appl Categ. 14(17) (2005), 399-423 | MR 2211425 | Zbl 1082.18004

[Kr] H. Krause, The spectrum of a module category, Mem. Amer. Math. Soc. 149 (2001), 1-125 | MR 1803703 | Zbl 0981.16007

[M] F. Marmolejo, Distributive laws for pseudomonads, Theor. Appl. Categ. 5(5) (1999), 91-147 | MR 1673316 | Zbl 0919.18004

[PCW] A. J. Power, G. L. Cattani and G. Winskel, Representation result for free cocompletions, Jour. Pure Appl. Alg. 151(3) (2000), 273-286 | MR 1776428 | Zbl 0971.18007

[SW] R. Street and R. Walters, Yoneda structures on 2-categories, J. Algebra 50 (1978), 350-379 | MR 463261 | Zbl 0401.18004

[Ta] M. Tanaka, Pseudo-Distributive Laws and a Unified Framework for Variable Binding, PhD Thesis, University of Edinburgh, 2005

[Th] W. Tholen, Pro-categories and multiadjoint functors, Can. J. Math. 36 (1984), 144-155 | MR 733712 | Zbl 0529.18002