For a small quantaloid $\mathcal{Q}$, it is shown that the category of $\mathcal{Q}$-distributors and diagonals is equivalent to a quotient category of the category of $\mathcal{Q}$-interior spaces and continuous $\mathcal{Q}$-distributors. Kan adjunctions induced by $\mathcal{Q}$-distributors play a crucial role in establishing this equivalence.

中文翻译：

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Q 分布器之间的对角线

对于小量子 $\mathcal{问}$，可以看出类别 $\mathcal{问}$-distributors 和 diagonals 等价于 $\mathcal{问}$-内部空间和连续 $\mathcal{问}$- 经销商。由诱导的 Kan 连词$\mathcal{问}$- 经销商在建立这种等效性方面发挥着至关重要的作用。