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arXiv · 1707.04074

B\'enabou's theorem for pseudoadjunctions

Matěj Dostál
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Abstract

We give a formal account of B\'enabou's theorem for peudoadjunctions in the context of Gray-categories. We prove that to give a pseudoadjunction $F \dashv U: A \to X$ with unit $\eta$ in a Gray-category K is precisely to give an absolute left (Kan) pseudoextension $U$ of $1_X$ along $F$ witnessed by $\eta$.

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Matěj Dostál. 2017-07-13. B\'enabou's theorem for pseudoadjunctions. https://arxiv.org/abs/1707.04074

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