Categorical structures enriched in a quantaloid: tensored and cotensored categories - Archive ouverte HAL Access content directly
Journal Articles Theory and Applications of Categories Year : 2006

Categorical structures enriched in a quantaloid: tensored and cotensored categories

Abstract

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. 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.

Dates and versions

hal-03606839 , version 1 (12-03-2022)

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Isar Stubbe. Categorical structures enriched in a quantaloid: tensored and cotensored categories. Theory and Applications of Categories, 2006, 16 (14), pp.283--306. ⟨hal-03606839⟩

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UNIV-LITTORAL

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