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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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The evaluation and coevaluation maps for an object isomorphic to a dualisable object

This won't fit in a comment, maybe it's useful to someone: $$ \begin{align*} (\mathrm{id}_Y⊗\mathrm{ev}_Y)∘(\mathrm{coev}_Y⊗\mathrm{id}_Y) &= (\mathrm{id}_Y⊗\mathrm{ev}_X)∘(\mathrm{id}_{Y⊗X^*}⊗σ^{-1} …
Elizabeth Henning's user avatar