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Isbell Adjunctions and Kan Adjunctions via Quantale-Enriched Two-Variable Adjunctions [PDF]

open access: yesApplied Categorical Structures, 2021
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.
Lili Shen, Xiaoye Tang
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ADJUNCTION AND INVERSION OF ADJUNCTION

open access: yesNagoya Mathematical Journal, 2022
AbstractWe establish adjunction and inversion of adjunction for log canonical centers of arbitrary codimension in full generality.
OSAMU FUJINO, KENTA HASHIZUME
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