Enriched yoneda lemma

Research output: Contribution to journalArticlepeer-review


We present a version of the enriched Yoneda lemma for conventional (not ∞-) cate-gories. 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 → PM(A) is a universal functor from A to a category with colimits, left-tensored over M.

Original languageEnglish
Article number29
Pages (from-to)833-838
Number of pages6
JournalTheory and Applications of Categories
StatePublished - 1 Sep 2016

Bibliographical note

Publisher Copyright:
© Vladimir Hinich, 2016.


  • Enriched categories
  • Left-tensored categories
  • Yoneda embedding

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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