Idempotent splittings, colimit completion, and weak aspects of the theory of monads
classification
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categoriesweakaspectscartesiancategorycauchycolimitcomplete
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We show that some recent constructions in the literature, named `weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Cartesian monoidal category of Cauchy complete categories.
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