Multiple functors. III. The cartesian closed category C a t n

Andrée Ehresmann; Charles Ehresmann

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1978)

  • Volume: 19, Issue: 4, page 387-443
  • ISSN: 1245-530X

How to cite

top

Ehresmann, Andrée, and Ehresmann, Charles. "Multiple functors. III. The cartesian closed category $Cat_n$." Cahiers de Topologie et Géométrie Différentielle Catégoriques 19.4 (1978): 387-443. <http://eudml.org/doc/91208>.

@article{Ehresmann1978,
author = {Ehresmann, Andrée, Ehresmann, Charles},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {category of hypertransformations; enriched category; category of n-fold categories; internal Hom-functor; laxification; cartesian closed structure; monoidal closed category; multiple functors},
language = {eng},
number = {4},
pages = {387-443},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Multiple functors. III. The cartesian closed category $Cat_n$},
url = {http://eudml.org/doc/91208},
volume = {19},
year = {1978},
}

TY - JOUR
AU - Ehresmann, Andrée
AU - Ehresmann, Charles
TI - Multiple functors. III. The cartesian closed category $Cat_n$
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1978
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 19
IS - 4
SP - 387
EP - 443
LA - eng
KW - category of hypertransformations; enriched category; category of n-fold categories; internal Hom-functor; laxification; cartesian closed structure; monoidal closed category; multiple functors
UR - http://eudml.org/doc/91208
ER -

References

top
  1. 1 J. Benabou, Introduction to bicategories, Lecture Notes in Math.47, Springer (1967) . MR220789
  2. 2 J. Benabou, Fibrations petites et localement petites, C. R. A. S. Paris281 (1975), 897- 900. Zbl0349.18006MR393181
  3. 3 E. Dubuc, Kan extensions in enriched categories, Lecture Notes in Math.145, Springer (1970). Zbl0228.18002MR280560
  4. 4 A . & C. Ehresmann, Multiple functors I, Cahiers Topo. et Géo. Diff.XV- 3 (1974), 215- 292. Zbl0332.18005
  5. 5 A. & C. Ehresmann, Multiple functors II, id. XIX- 3 (1978), 295-333. Zbl0415.18005
  6. 6 A. & C. Ehresmann, Multiple functors IV, id. XX- 1 (1979), to appear. Zbl0415.18007
  7. 7 A. & C. Ehresmann, Categories of sketched structures, id. XIII- 2 (1972). Zbl0263.18009
  8. 8 C. Ehresmann, Catégories et Structures, Dunod, Paris, 1965. Zbl0192.09803MR213410
  9. 9 C. Ehresmann, Catégories structurées d'opérateurs, C. R. A. S., Paris, 256 (1963), 2080. Zbl0217.06901MR152563
  10. 10 C. Ehresmann, Structures quasi-quotients, Math. Ann.171 (1967), 293-363. Zbl0248.18007MR212066
  11. 11 C. Ehresmann, Catégories structurées III, Cahiers Topo. et Géo, Diff.V (1963). Zbl0207.32502
  12. 12 C. Ehresmann, Catégories topologiques et catégories différentiables, Col. Géo. Diff. globale Bruxelles (1958), 137- 152. Zbl0205.28202MR116360
  13. 13 Eilenberg & Kelly, Closed categories, Proc. Conf. on categ. Algebra La Jolla1965, Springer, 1966. Zbl0192.10604MR225841
  14. 14 Foltz & Lair, Fermeture standard des catégories algébriques, Cahiers Topo. et Géo. Diff.XIII- 3 (1972). Zbl0251.18010
  15. 15 J.W. Gray, Fibred and cofibred categories, Proc. Conf. on categ. Algebra La Jolla1965, Springer, 1966. Zbl0192.10701MR213413
  16. 16 A. Grothendieck, Catégories fibrées et descente, Séminaire I. H. E. S. P a-ris (1961). 
  17. 17 Guitart & Van Den Bril, Décompositions et lax-complétions, Cahiers Topo. et Géo. Diff.XVIII-4 (1977), 333- 408. Zbl0381.18012MR470016
  18. 18 H. Herrlich, Topological functors, Gen. Topo. and Appl.4 (1974). Zbl0288.54003MR343226
  19. 19 R.E. Hoffmann, A categorical concept of connectedness, Résumés Coll. Amiens, Cahiers Topo. et Géo. Diff.XIV-2 (1973). 
  20. 20 P Are & Schumacher, Abstract families and the adjoint functor theorems, Lecture Notes in Math.661, Springer (1978), 1- 125. Zbl0389.18002MR514193
  21. 21 J. Penon, Catégories à sommes commutables, Cahiers Topo.XIV-3 (1973). 22. M. Wischnewsky, Initialkategorien, Thesis, Univ. of München, 1972. Zbl0289.18002MR313352

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.