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math.CT2024
Categorical Ambidexterity
Shay Ben-Moshe
We prove an ambidexterity result for -categories of -categories admitting a collection of colimits. This unifies and extends two known phenomena: the identification…
math.CT2024★ 1 cited
Uniqueness and -Naturality of Yoneda
Shay Ben-Moshe
We show that the Yoneda embedding extends to an -natural transformation. Furthermore, as such, it is uniquely determined by its value at the trivial -category.…
math.CT2023★ 1 cited
Naturality of the -Categorical Enriched Yoneda Embedding
Shay Ben-Moshe
We make Hinich's -categorical enriched Yoneda embedding natural. To do so, we exhibit it as the unit of a partial adjunction between the functor taking enriched presheaves…