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arXiv · 0712.0418

Closed categories, star-autonomy, and monoidal comonads

Craig Pastro·Ross Street
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Abstract

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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Craig Pastro, Ross Street. 2007-12-04. Closed categories, star-autonomy, and monoidal comonads. https://arxiv.org/abs/0712.0418

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