Cauchy completion in category theory

Francis Borceux; Dominique Dejean

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1986)

  • Volume: 27, Issue: 2, page 133-146
  • ISSN: 1245-530X

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Borceux, Francis, and Dejean, Dominique. "Cauchy completion in category theory." Cahiers de Topologie et Géométrie Différentielle Catégoriques 27.2 (1986): 133-146. <http://eudml.org/doc/91378>.

@article{Borceux1986,
author = {Borceux, Francis, Dejean, Dominique},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {sequential Cauchy completion of metric space; idempotent split property; absolute small colimits; distributor; adjoint functor theorem; -categories; categorical Cauchy completion},
language = {eng},
number = {2},
pages = {133-146},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Cauchy completion in category theory},
url = {http://eudml.org/doc/91378},
volume = {27},
year = {1986},
}

TY - JOUR
AU - Borceux, Francis
AU - Dejean, Dominique
TI - Cauchy completion in category theory
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1986
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 27
IS - 2
SP - 133
EP - 146
LA - eng
KW - sequential Cauchy completion of metric space; idempotent split property; absolute small colimits; distributor; adjoint functor theorem; -categories; categorical Cauchy completion
UR - http://eudml.org/doc/91378
ER -

References

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  1. 1 J. Benabou, Les distributeurs, Rap. Sém. Math. Pures33, Univ. Louvain1973. 
  2. 2 G. Bird, Morita theory for enriched categories, Manuscript, Univ. Sydney1981. 
  3. 3 A. Carboni & R. Street, Orders ideals in categories, Manuscript, Univ. Milano1981. Zbl0565.18001
  4. 4 B. Elkins& Z.A. Zilber, Categories of actions and Morita equivalences, Rocky Mount. J. Math. (1976), 199-225. Zbl0363.18004MR399204
  5. 5 P. Gabriel & F. Ulmer, Lokal prasentierbare Kategorien, Lecture Notes in Math.221, Springer (1971). Zbl0225.18004MR327863
  6. 6 M.F. Gouzou & R. Grunig, U-distributeurs et catégories de modules, Manuscrit Univ. ParisVII, 1975. 
  7. 7 A. Joyal& M. Tierney, An extension of the Galois theory of Grothendieck, MemoirA.M.S.1984. Zbl0541.18002MR756176
  8. 8 G.M. Kelly, Basic concepts of enriched category theory, Londond Math. Soc. Lect. Notes Ser. 64, Cambridge Univ. Press, 1982. Zbl0478.18005MR651714
  9. 9 F.W. Lawvere, Metric spaces, generalized logic and closed categories, Rend. Sem. Mat. e Fis. di Milano43 (1973), 135-166. Zbl0335.18006MR352214
  10. 10 H. Lindner, Morita equivalences of enriched categories, Cahiers Top. Géom. Diff. XV-4 (1974), 377-397. Zbl0319.18006MR399209
  11. 11 R. Street, Manuscript, Macquarie University, Sydney, 1981. 

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