Categorical Structures Enriched in a Quantaloid : Tensored and Cotensored Categories Isar Stubbe

@inproceedings{Stubbe2003CategoricalSE,
  title={Categorical Structures Enriched in a Quantaloid : Tensored and Cotensored Categories Isar Stubbe},
  author={Isar Stubbe},
  year={2003}
}
A quantaloid is a sup-lattice-enriched category; 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 conically cocomplete, or alternatively, those which are tensored, cotensored and ‘order-cocomplete’. In fact, tensors and cotensors in a Q-category determine, and are determined by, certain adjunctions in the category of Q-categories; some of these adjunctions can be reduced… CONTINUE READING
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