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arXiv · 2102.09789

Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions

Lili Shen·Xiaoye Tang
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Abstract

It is shown that every two-variable adjunction in categories enriched in a commutative quantale serves as a base for constructing Isbell adjunctions between functor categories, and Kan adjunctions are precisely Isbell adjunctions constructed from suitable associated two-variable adjunctions. Representation theorems are established for fixed points of these adjunctions.

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Lili Shen, Xiaoye Tang. 2021-02-19. Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions. https://doi.org/10.1007/s10485-021-09654-w

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