Adjoint for double categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques (2004)
- Volume: 45, Issue: 3, page 193-240
- ISSN: 1245-530X
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topGrandis, Marco, and Pare, Robert. "Adjoint for double categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 45.3 (2004): 193-240. <http://eudml.org/doc/91684>.
@article{Grandis2004,
author = {Grandis, Marco, Pare, Robert},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {double category; adjunction; double monad},
language = {eng},
number = {3},
pages = {193-240},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Adjoint for double categories},
url = {http://eudml.org/doc/91684},
volume = {45},
year = {2004},
}
TY - JOUR
AU - Grandis, Marco
AU - Pare, Robert
TI - Adjoint for double categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2004
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 45
IS - 3
SP - 193
EP - 240
LA - eng
KW - double category; adjunction; double monad
UR - http://eudml.org/doc/91684
ER -
References
top- [AT] H. Applegate - M. Tierney, Categories with models, in: Seminar on triples and categorical homology theory, Lecture Notes in Mathematics80, Springer, Berlin1969, pp. 156-244. Zbl0188.28204MR242916
- [BE] A. Bastiani - C. Ehresmann, Multiple functors I. Limits relative to double categories, Cahiers Topologie Géom. Différentielle15 (1974), 215-292. Zbl0332.18005MR379626
- [BM] R. Brown - G. Mosa, Double categories, 2-categories, thin structures and connections, Theory Appl. Categ.5 (1999), 163-175 (electronic). http://tac.mta.ca/tac/ Zbl0918.18005MR1694653
- [BMM] R. Bruni - J. Meseguer - U. Montanari, Symmetric monoidal and Cartesian double categories as a semantic framework for tile logic, Math. Structures Comput. Sci.12 (2002), 53-90. Zbl0993.68058MR1887336
- [CR] A. Carboni - R. Rosebrugh, Lax monads, indexed monoidal monads, J. Pure Appl. Algebra76 (1991), 13-32. Zbl0749.18002MR1140637
- [Da] R. Dawson, A forbidden-suborder characterization of binarily-composable diagrams in double categories, Theory Appl. Categ.1 (1995), 146-155 (electronic). http://tac.mta.ca/tac/ Zbl0857.18008MR1353416
- [DP1] R. Dawson - R. Paré, General associativity and general composition for double categories, Cahiers Topologie Géom. Différentielle Catég.34 (1993), 57-79. Zbl0778.18005MR1213297
- [DP2] R. Dawson - R. Paré, What is a free double category like?, J. Pure Appl. Algebra168 (2002), 19-34. Zbl1008.18007MR1879928
- [E1] C. Ehresmann, Catégories structurées, Ann. Sci. Ecole Norm. Sup.80 (1963), 349-425. Zbl0128.02002MR197529
- [E2] C. Ehresmann, Catégories et structures, Dunod, Paris1965. Zbl0192.09803MR213410
- [Gr] M. Grandis, On distributive homological algebra, I. RE-categories, Cahiers Topologie Géom. Différentielle25 (1984), 259-301. Zbl0564.18005MR786552
- [GP] M. Grandis - R. Paré, Limits in double categories, Cahiers Topologie Géom. Différentielle Catég.40 (1999), 162-220. Zbl0939.18007MR1716779
- [Gu] R. Guitart, Tenseurs et machines, Cahiers Topologie Géom. Différentielle21 (1980), 5-62. Zbl0477.18007MR569117
- [Ke] G.M. Kelly, Doctrinal adjunction, in: Category Seminar (Sydney1972/73), Lecture Notes in Mathematics420, Springer, Berlin1974, pp. 257-280. Zbl0334.18004MR360749
- [LS] J. Lambek - P.J. Scott, Introduction to higher order categorical logic, Cambridge University Press, Cambridge1986. Zbl0596.03002MR856915
- [La] F.W. Lawvere, Metric spaces, generalized logic and closed categories, Rend. Sem. Mat. Fis. Univ. Milano43 (1974), 135-166. Republished in: Reprints Theory Appl. Categ.1 (2002), 1-37. Zbl0335.18006MR352214
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