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Lemme de Yoneda pour les foncteurs à valeurs monoidales

Published 10 Oct 2024 in math.CT | (2410.07766v1)

Abstract: We consider a closed symmetric monoidal category $\mathcal{M}$. We show that if $I$ is a small category then $\mathcal{M}I$ is a closed $\mathcal{M}$-module. We rewrite the Yoneda Lemma in the case of monoidal valued functors. We derive an adjoint functor theorem and we show that $\mathcal{M}I$ is a closed symmetric monoidal category

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