nLab dg-Yoneda embedding

Idea

The dg-Yoneda embedding is the analogue of the Yoneda embedding in the setting of dg-categories.

Definition

Let $dg-mod_T$ denote the dg-category of dg-modules over $T$. The enriched Yoneda embedding is a fully faithful functor of dg-categories

$h : T \hookrightarrow dg-mod_T.$

This induces the dg-Yoneda embedding

$h : T \hookrightarrow D(T)$

into the derived dg-category of $T$, which is a full sub-dg-category of $dg-mod_T$.

References

See the references at dg-module.

Last revised on February 5, 2015 at 17:16:10. See the history of this page for a list of all contributions to it.