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3 votes
1 answer
201 views

Yoneda as a dinatural transformation 'up to iso'

$\newcommand{\op}{\mathrm{op}}$For a locally small category $\mathcal{C}$, let $y_\mathcal{C}:\mathcal{C}\to{\bf Set}^{\mathcal{C}^{\op}}$ denote the Yoneda embedding at $\mathcal{C}$. Letting ${\bf ...
Alec Rhea's user avatar
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16 votes
2 answers
737 views

Original reference for categories of presheaves as free cocompletions of small categories

It is well known that, for a small category $\mathbf A$, the category $\widehat{\mathbf A} = [\mathbf A^\circ, \mathbf{Set}]$ of presheaves on $\mathbf A$ together with the Yoneda embedding $\mathbf A ...
varkor's user avatar
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