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19 April 2024
 
  » arxiv » math.CT/0411366

 Article overview


Categorical structures enriched in a quantaloid: tensored and cotensored categories
Isar Stubbe ;
Date 16 Nov 2004
Subject Category Theory | math.CT
AbstractOur 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 conically cocomplete, or alternatively, those which are tensored, cotensored and order-cocomplete. Bearing this in mind, we analyze how Sup-valued homomorphisms on Q are related to Q-categories. With an appendix on action, representation and variation.
Source arXiv, math.CT/0411366
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