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Journal Articles Theory and Applications of Categories Year : 2005

Categorical structures enriched in a quantaloid: categories, distributors and functors

Abstract

We thoroughly treat several familiar and less familiar definitions and results concerning categories, functors and distributors enriched in a base quantaloid Q. In analogy with V-category theory we discuss such things as adjoint functors, (pointwise) left Kan extensions, weighted (co)limits, presheaves and free (co)completion, Cauchy completion and Morita equivalence. With an appendix on the universality of the quantaloid Dist(Q) of Q-enriched categories and distributors.

Dates and versions

hal-03606843 , version 1 (12-03-2022)

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Cite

Isar Stubbe. Categorical structures enriched in a quantaloid: categories, distributors and functors. Theory and Applications of Categories, 2005, 14 (1), pp.1--45. ⟨hal-03606843⟩

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