Categorical structures enriched in a quantaloid : regular presheaves, regular semicategories

Isar Stubbe

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2005)

  • Volume: 46, Issue: 2, page 99-121
  • ISSN: 1245-530X

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Stubbe, Isar. "Categorical structures enriched in a quantaloid : regular presheaves, regular semicategories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 46.2 (2005): 99-121. <http://eudml.org/doc/91695>.

@article{Stubbe2005,
author = {Stubbe, Isar},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {quantaloïde; semicategory; presheaf; equivalence of Morita; -set},
language = {eng},
number = {2},
pages = {99-121},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Categorical structures enriched in a quantaloid : regular presheaves, regular semicategories},
url = {http://eudml.org/doc/91695},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Stubbe, Isar
TI - Categorical structures enriched in a quantaloid : regular presheaves, regular semicategories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2005
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 46
IS - 2
SP - 99
EP - 121
LA - eng
KW - quantaloïde; semicategory; presheaf; equivalence of Morita; -set
UR - http://eudml.org/doc/91695
ER -

References

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  1. [1] [ F. Borceux, 1994] Handbook of categorical algebra (3 volumes). Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge. MR1315049
  2. [2] [ A. Carboni, S. Kasangian and R.F.C. Walters, 1987] An axiomatics for bicategories of modules, J. Pure Appl. Algebra45, pp. 127-141. Zbl0615.18006MR889588
  3. [3] [ P.J. Freyd, 1964] Abelian categories. An introduction to the theory of functors. Harper's Series in Modem Mathematics. Harper & Row Publishers, New York. Zbl0121.02103MR166240
  4. [4] [ G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M.W. Mislove and D.S. Scott, 1980] A compendium of continuous lattices. Springer-Verlag, Berlin. Zbl0452.06001MR614752
  5. [5] [ J. Koslowski, 1997] Monads and interpolads in bicategories, Theory Appl. Categ.3, pp. 182-212. Zbl0889.18003MR1472221
  6. [6] [ M.-A. Moens, U. Berni-Canani and F. Borceux, 2002] On regular presheaves and regular semicategories, Cah. Topol. Géom. Différ. Catég.43, pp. 163-190. Zbl1038.18006MR1928230
  7. [7] [ I. Stubbe, 2004a] Categorical structures enriched in a quantaloid: categories, distributors and functors, arXiv: math. CT/0409473. MR2122823
  8. [8] [ I. Stubbe, 2004b] Categorical structures enriched in a quantaloid: orders and ideals over a base quantaloid, arXiv: math. CT/0409477. MR2167792
  9. [9] [ G. Van den Bossche, 1995] Quantaloids and non-commutative ring representations, Appl. Categ. Structures3, pp. 305-320. Zbl0847.18005MR1364011
  10. [10] [ F. van der Plancke, 1997] Sheaves on a Quantaloid as Enriched Categories Without Units, PhD thesis, Université de Louvain, Louvain-la-Neuve. 

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