Closed categories, star-autonomy, and monoidal comonads

Mathematics – Category Theory

Scientific paper

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25 pages

Scientific paper

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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