Lemme de Yoneda pour les foncteurs à valeurs monoidales

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

in French language, Exposé aux séminaires de LATAO, Faculté des Sciences De Tunis, 8-3-2018