Categorical structures enriched in a quantaloid: regular presheaves, regular semicategories - Archive ouverte HAL
Article Dans Une Revue Cahiers de topologie et géométrie différentielle catégoriques Année : 2005

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

Résumé

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 regular, and its regular presheaves then constitute an essential (co)localization of the category of all of its presheaves. The notion of regular semidistributor allows to establish the Morita equivalence of regular semicategories. Continuous orders and Omega-sets provide examples.

Dates et versions

hal-03606842 , version 1 (12-03-2022)

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Citer

Isar Stubbe. Categorical structures enriched in a quantaloid: regular presheaves, regular semicategories. Cahiers de topologie et géométrie différentielle catégoriques, 2005, 46 (2), pp.99-121. ⟨hal-03606842⟩
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