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Timeline for Any example of a non-strong monad?

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May 26, 2017 at 14:59 comment added Robert Furber Ah yes, all diagrams in a poset commute. For an explict $X$ and $Y$ you could take, e.g. $\mathbb{I}, \mathbb{Q}$ as the irrationals and rationals respectively. Then $\mathbb{I} \cap \overline{\mathbb{Q}} = \mathbb{I} \cap \mathbb{R} = \mathbb{I}$, but $\overline{\mathbb{I} \cap \mathbb{Q}} = \overline{\emptyset} = \emptyset$.
May 23, 2017 at 15:08 history undeleted n. m. could be an AI
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May 23, 2017 at 14:28 history answered n. m. could be an AI CC BY-SA 3.0