Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions

zbMath1273.18022arXiv1307.5625MaRDI QIDQ2847373

Lili Shen, Dexue Zhang

Publication date: 4 September 2013

Full work available at URL: https://arxiv.org/abs/1307.5625

zbMATH Keywords

quantaloidIsbell adjunctionKan adjunctioncomplete Q-categoryQ-closure spaceQ-distributor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Enriched categories (over closed or monoidal categories) (18D20)

Related Items (18)

Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions ⋮ Completeness and injectivity ⋮ Density in categorical topology via quantaloid-enriched categories ⋮ Topological categories, quantaloids and Isbell adjunctions ⋮ Lax distributive laws for topology, II ⋮ Fixed points of adjoint functors enriched in a quantaloid ⋮ Diagonals between \(\mathcal{Q}\)-distributors ⋮ On some categories of structured sets ⋮ Chu connections and back diagonals between \(\mathcal{Q}\)-distributors ⋮ Some classes of abstract simplicial complexes motivated by module theory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Monads on \(\mathcal{Q} - \mathbf{Cat}\) and their lax extensions to \(\mathcal{Q} - \mathbf{Dist}\) ⋮ \(\mathcal{Q}\)-closure spaces ⋮ Regularity vs. constructive complete (co)distributivity ⋮ Multi-adjoint concept lattices via quantaloid-enriched categories ⋮ Fuzzy Galois connections on fuzzy sets ⋮ Set relations and set systems induced by some families of integral domains

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