For each relative pseudomonad T, the paper builds a terminal bicategory of T-pseudoalgebras, embeds the Kleisli bicategory into it, and characterizes pseudoalgebras for free cocompletion pseudomonads as cocomplete categories.
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Bicategories of algebras for relative pseudomonads
For each relative pseudomonad T, the paper builds a terminal bicategory of T-pseudoalgebras, embeds the Kleisli bicategory into it, and characterizes pseudoalgebras for free cocompletion pseudomonads as cocomplete categories.