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arxiv: 0712.0418 · v1 · submitted 2007-12-04 · 🧮 math.CT

Closed categories, star-autonomy, and monoidal comonads

classification 🧮 math.CT
keywords monoidalcategorystar-autonomyapplycategoriesclosedcoalgebrascomonad
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This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category C^G of Eilenberg-Moore coalgebras for a monoidal comonad G on C. We apply this to lift star-autonomy with the view to recasting the definition of quantum groupoid.

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