A survey of totality for enriched and ordinary categories

G. M. Kelly

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1986)

  • Volume: 27, Issue: 2, page 109-132
  • ISSN: 1245-530X

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Kelly, G. M.. "A survey of totality for enriched and ordinary categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 27.2 (1986): 109-132. <http://eudml.org/doc/91377>.

@article{Kelly1986,
author = {Kelly, G. M.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {indexed colimit; closed category; compact category; adjunction; Yoneda embedding; enriched categories; totality; monoidal category; hypercompleteness},
language = {eng},
number = {2},
pages = {109-132},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A survey of totality for enriched and ordinary categories},
url = {http://eudml.org/doc/91377},
volume = {27},
year = {1986},
}

TY - JOUR
AU - Kelly, G. M.
TI - A survey of totality for enriched and ordinary categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1986
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 27
IS - 2
SP - 109
EP - 132
LA - eng
KW - indexed colimit; closed category; compact category; adjunction; Yoneda embedding; enriched categories; totality; monoidal category; hypercompleteness
UR - http://eudml.org/doc/91377
ER -

References

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  3. 3 B.J. Day, On adjoint-functor factorization, Lecture Notes in Math. 420 (1974), 1-19. Zbl0367.18004MR396717
  4. 4 B.J. Day & R. Street, Categories in which all strong generators are dense, J. Pure Appl. Algebra (to appear). Zbl0612.18004MR868984
  5. 5 E.J. Dubuc, Adjoint triangles, Lecture Notes in Math. 61 (1968), 69-91. Zbl0172.02103MR233864
  6. 6 E.J. Dubuc, Kan extensions in Enriched Category Theory, Lecture Notes in Math.145 (1970). Zbl0228.18002MR280560
  7. 7 P.J. Freyd & G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra2 (1972), 169-191; erratum ibid.4 (1974), 121. Zbl0257.18005MR322004
  8. 8 P. Gabriel& F. Ulmer, Lokal prasentierbare Kategorien, Lecture Notes in Math. 221 (1971). Zbl0225.18004MR327863
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  12. 12 G.M. Kelly, Basic concepts of enriched category theory, London Math. Soc. Lecture Notes Series 64, Cambridge Univ. Press, 1982. Zbl0478.18005MR651714
  13. 13 G.M. Kelly, Structures defined by finite limits in the enriched context, I, Cahiers Top. et Géom. Diff.XXIII-1 (1982), 3-42. Zbl0538.18006MR648793
  14. 14 S. Mac Lane, Categories for the working mathematician, Graduate Texts in Math.5, Springer, 1971. Zbl0232.18001MR1712872
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  24. 24 R.J. Wood, Some remarks on total categories, J. Algebra75 (1982), 538-545. Zbl0504.18001MR653907

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