×

zbMATH — the first resource for mathematics

Categories of sketched structures. (English) Zbl 0263.18009

MSC:
18C10 Theories (e.g., algebraic theories), structure, and semantics
18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
18D35 Structured objects in a category (MSC2010)
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] AB A. Bastiani , Théorie des ensembles , C. D. U. , Paris , 1970 . MR 258635 | Zbl 0215.05101 · Zbl 0215.05101
[2] B J. Benabou , Structures algébriques dans les categories , Cahiers Topo. Géo. diff. X - 1 , Paris ( 1968 ), 1 - 126 . Numdam | MR 244335 | Zbl 0162.32602 · Zbl 0162.32602
[3] BE A. Bastiani - C. Ehresmann , Catégories de foncteurs structurés , Cahiers Topo. Géo. diff. XI - 3 , P ari s ( 1969 ), 329 - 384 . Numdam | MR 272850 | Zbl 0223.18008 · Zbl 0223.18008
[4] Br A. Burroni , Esquisse des catégories à limites et des quasi-topologies , Esquisses Mathématiques 5 , P aris , 1970 . Zbl 0395.18005 · Zbl 0395.18005
[5] Bu E. Burroni , Catégories discrètement structurées. Triples , Esquisses Mathématiques 4 , P aris , 1970 . MR 283041 | Zbl 0355.18012 · Zbl 0355.18012
[6] D B. Day , On closed categories of functors , Lecture Notes 137 , Springer ( 1970 ). MR 272852 | Zbl 0203.31402 · Zbl 0203.31402
[7] D1 B. Day , A reflection theorem for closed categories , Jour. P. and Ap. Alg. , 2 - 1 ( 1972 ), 1 - 11 . MR 296126 | Zbl 0236.18004 · Zbl 0236.18004
[8] DK B. Day - G.M. Kelly , Enriched functor categories , Lecture Notes 106 , Springer ( 1969 ), 178 - 191 . MR 255633 | Zbl 0214.03202 · Zbl 0214.03202
[9] Du E.J. Dubuc , Enriched Semantics-Structure (Meta)adjointness , Rev. Un. Mate. Argentina 25 ( 1970 ), 5 - 26 . MR 352213 | Zbl 0227.18003 · Zbl 0227.18003
[10] E C. Ehresmann , Sur l’existence de structures libres et de foncteurs adjoints , Cahiers Topo. Géo. diff. IX - 1 - 2 , Paris ( 1967 ), 33 - 180 . Numdam | MR 237592 | Zbl 0201.02201 · Zbl 0201.02201
[11] E1 C. Ehresmann , Algèbre, 1ère Partie , C. D. U. , Paris , 1968 .
[12] E2 C. Ehresmann , Catégories structurées généralisées , Cahiers Topo. Géo. diff. X - 1 ( 1968 ), 139 - 168 . Numdam | MR 244337 | Zbl 0162.32601 · Zbl 0162.32601
[13] E3 C. Ehresmann , Introduction to the theory of structured categories, Technical Report 10 , University of Kansas , Lawrence ( 1966 ). Zbl 0192.10001 · Zbl 0192.10001
[14] E4 C. Ehresmann , Sur les structures algébriques , C. R. A. S. 264 ( 1967 ), Paris . MR 217140 | Zbl 0156.25803 · Zbl 0156.25803
[15] E5 C. Ehresmann , Esquisses et types des structures algébriques , Bule. Inst. Politec. Iaşi , XIV ( 1968 ), 1 - 14 . (This paper has been developed in a lecture at the Symposium on Categorical Algebra, Rome , March 1969 ). MR 238918 | Zbl 0196.03102 · Zbl 0196.03102
[16] E6 C. Ehresmann , Catégories structurées , An. Ec. Norm. Sup. 80 , Paris ( 1963 ). Numdam | MR 197529 | Zbl 0128.02002 · Zbl 0128.02002
[17] EH B. Eckmann - P. Hilton , Group-like structures in general categories , Math. Ann. 145 ( 1962 ), 227 . MR 136642 | Zbl 0099.02101 · Zbl 0099.02101
[18] EK S. Eilenberg - G.M. Kelly , Closed Categories , Proc. Conf. Cat. Algebra of La Jolla, Springer ( 1966 ), 421 - 562 . MR 225841 | Zbl 0192.10604 · Zbl 0192.10604
[19] F.F. Foltz , Complétion des V-catégories , Cahiers Topo. Géo. diff. XIII (to appear 1972 ). Numdam | MR 325730 | Zbl 0291.18009 · Zbl 0291.18009
[20] F1 F. Foltz , Sur la catégorie des foncteurs dom-inés , Cahiers Topo. Geo. diff. XI - 2 , Paris ( 1969 ), 101 - 130 . Numdam | MR 260820 | Zbl 0209.04502 · Zbl 0209.04502
[21] F2 F. Foltz , Sur la domination des catégories, II et III , Cahiers Topo. Géo. diff. XII - 4 , Paris ( 1971 ), 375 - 443 . Numdam | MR 310037 | Zbl 0253.18009 · Zbl 0253.18009
[22] FK P.J. Freyd - G.M. Kelly , Categories of continuous functors , Jour. P. and Ap. Algebra 2 - 2 ( 1972 ), 169 - 191 . MR 322004 | Zbl 0257.18005 · Zbl 0257.18005
[23] FL F. Foltz - Ch. Lair , Fermetures standard des catégories algébriques , Cahiers Topo. Géo. diff. XIII - 3 , Paris ( 1972 ) (to appear). Numdam | MR 320111 | Zbl 0251.18010 · Zbl 0251.18010
[24] G J.W. Gray , The categorical comprehension scheme , Lecture Notes 99 , Springer ( 1969 ), 242 - 312 . MR 249483 | Zbl 0211.03403 · Zbl 0211.03403
[25] G1 J.W. Gray , 2-catégories coreprésentables (lectures given at Paris 1970 ; mimeographed Notes by P. Leroux ); summary in Lecture Notes 195 , Springer .
[26] Go A. Grothendieck , Techniques de descente , Séminaire Bourbaki 195 , 212 ( 1960 ), Paris . Numdam
[27] GU P. Gabriel - F. Ulmer , Lokal präsentierbare Kategorien , Lecture Notes 221 Springer ( 1971 ). MR 327863 | Zbl 0225.18004 · Zbl 0225.18004
[28] GZ P. Gabriel - M. Zisman , Calculus of fractions and homotopy theory , Springer . Zbl 0186.56802 · Zbl 0186.56802
[29] J G. Jacob , Catégories marquées et faisceaux , Thesis (mimeographed), Paris , 1969 .
[30] K G.M. Kelly , Adjunction for enriched categories , Lecture Notes 106 , Springer ( 1969 ), 166 - 177 . MR 255632 | Zbl 0214.03201 · Zbl 0214.03201
[31] L Ch. Lair , Produits tensoriels d’esquisses (to appear).
[32] L1 Ch. Lair , Foncteurs d’omission de structures algébriques , Cahiers Topo. Géo. diff. XII - 2 , Paris ( 1971 ), 147 - 186 . Numdam | MR 327864 | Zbl 0226.18004 · Zbl 0226.18004
[33] L2 Ch. Lair , Construction d’esquisses. Transformations naturelles généralisées , Esquisses Mathématiques 2 , Paris , 1970 .
[34] Lb J. Lambek , Completions of categories , Lecture Notes 24 , Springer ( 1966 ). MR 209330 | Zbl 0143.02802 · Zbl 0143.02802
[35] ML S. Mac Lane , Categories for the uorking mathematician , Springer , 1972 . Zbl 0906.18001 · Zbl 0906.18001
[36] W. M. Wischnewsky , Partielle Algebren in Initialkategorien , Math. Zeit. 127 ( 1972 ), 83 - 91 . Article | MR 308238 | Zbl 0226.18001 · Zbl 0226.18001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.