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arXiv · 2401.03366

The powerset monad on quantale-valued sets

Lili Shen·Xiaojuan Zhao
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Abstract

For a small involutive quantaloid $\mathcal{Q}$, it is shown that the category of separated complete $\mathcal{Q}$-categories and left adjoint $\mathcal{Q}$-functors is strictly monadic over the category of symmetric $\mathcal{Q}$-categories. In particular, the (covariant) powerset monad on the category of quantale-valued sets is precisely formulated.

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Lili Shen, Xiaojuan Zhao. 2023-09-11. The powerset monad on quantale-valued sets. https://doi.org/10.1016/j.fss.2024.108855

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