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arXiv · 2003.13959

Diagonals between $\mathcal{Q}$-distributors

Lili Shen
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Abstract

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.

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Lili Shen. 2020-03-31. Diagonals between $\mathcal{Q}$-distributors. https://doi.org/10.1016/j.fss.2020.10.015

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