121 citations
3 papers
math.CT2004★ 91 cited
Categorical structures enriched in a quantaloid: tensored and cotensored categories
Isar Stubbe
Our subject is that of categories, functors and distributors enriched in a base quantaloid Q. We show how cocomplete Q-categories are precisely those which are tensored and conical…
math.CT2004★ 15 cited
Categorical structures enriched in a quantaloid: regular presheaves, regular semicategories
Isar Stubbe
We study presheaves on semicategories enriched in a quantaloid: this gives rise to the notion of regular presheaf. A semicategory is regular when its representable presheaves are r…
math.CT2004★ 121 cited
Categorical structures enriched in a quantaloid: categories, distributors and functors
Isar Stubbe
We thoroughly treat several familiar and less familiar definitions and results concerning categories, functors and distributors enriched in a base quantaloid Q. In analogy with V-c…