Geodesic
Enriched Yoneda lemma
Theory and applications of categories, Tome 31 (2016), pp. 833-838

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We present a version of the enriched Yoneda lemma for conventional (not $\infty$-) categories. We do not require the base monoidal category M to be closed or symmetric monoidal. In the case M has colimits and the monoidal structure in M preserves colimits in each argument, we prove that the Yoneda embedding A to P_M(A) is a universal functor from A to a category with colimits, left-tensored over M.

Publié le :
Classification : 18D20
Keywords: enriched categories, Yoneda embedding, left-tensored categories 
@article{TAC_2016_31_a28,
     author = {Vladimir Hinich},
     title = {Enriched {Yoneda} lemma},
     journal = {Theory and applications of categories},
     pages = {833--838},
     publisher = {mathdoc},
     volume = {31},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a28/}
}
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Vladimir Hinich. Enriched Yoneda lemma. Theory and applications of categories, Tome 31 (2016), pp. 833-838. http://geodesic.mathdoc.fr/item/TAC_2016_31_a28/