The paper proves a general adjunction between complete B-categories and 2-presheaves on Map(B), recovering sheaf theory over quantaloids and enrichment over monoidal categories as special cases.
Quantal sets and sheaves over quantales
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Sheaves on a bicategory
The paper proves a general adjunction between complete B-categories and 2-presheaves on Map(B), recovering sheaf theory over quantaloids and enrichment over monoidal categories as special cases.