Multiple functors. IV. Monoidal closed structures on C a t n

Andrée Ehresmann; Charles Ehresmann

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 1, page 59-104
  • ISSN: 1245-530X

How to cite

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Ehresmann, Andrée, and Ehresmann, Charles. "Multiple functors. IV. Monoidal closed structures on $Cat_n$." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.1 (1979): 59-104. <http://eudml.org/doc/91210>.

@article{Ehresmann1979,
author = {Ehresmann, Andrée, Ehresmann, Charles},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {category Cat n of n-fold categories; internal Hom functors; lax hypertransformations; laxification; closure functor; double category; multiple functors; monoidal closed structures},
language = {eng},
number = {1},
pages = {59-104},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Multiple functors. IV. Monoidal closed structures on $Cat_n$},
url = {http://eudml.org/doc/91210},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Ehresmann, Andrée
AU - Ehresmann, Charles
TI - Multiple functors. IV. Monoidal closed structures on $Cat_n$
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 1
SP - 59
EP - 104
LA - eng
KW - category Cat n of n-fold categories; internal Hom functors; lax hypertransformations; laxification; closure functor; double category; multiple functors; monoidal closed structures
UR - http://eudml.org/doc/91210
ER -

References

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  1. 1 J. Benabou, Introduction to bicategories, Lecture Notes in Math.47, Springer (1967). MR220789
  2. 2 D. Bourn, Natural anadeses and catadeses, Cahiers Topo. et Géo. Diff.XIV-4 (1973), p. 371-380. Zbl0323.18003MR354808
  3. 3 A. & C. Ehresmann, Multiple functors I, Cahiers Topo. et Géo. Diff.XV-3 (1978), 215 - 292 2. 
  4. 4 A. & C. Ehresmann, Multiple functors II, Id.XIX- 3 (1978), 295-333. Zbl0415.18005
  5. 5 A. & C. Ehresmann, Multiple functors III, Id.XIX - 4 (1978), 387-443. Zbl0415.18006
  6. 6 C. Ehresmann, Structures quasi-quotients, Math. Ann.171 (1967), 293- 363. Zbl0248.18007MR212066
  7. 7 J.W. Gray, Formal category theory, Lecture Notes in Math.391, Springer (1974). Zbl0285.18006MR371990
  8. 8 J. Penon, Catégories à sommes commutables, Cahiers Topo. et Géo. Diff.XIV-3 (1973). Zbl0289.18002MR357537
  9. 9 C.B. Spencer, An abstract setting for homotopy pushouts and pullbacks, Cahiers Topo. et Géo. Diff. XVIII-4 (1977),409-430. Zbl0378.18008MR486054
  10. 10 R. Street, Limits indexed by category-valued 2-functors, J. Pure and App. Algebra8-2 (1976), 149 - 181. Zbl0335.18005MR401868

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