nLab
enriched (∞,1)-functor

Idea

The canonical homomorphisms between enriched (∞,1)-categories are called enriched (∞,1)-functors. This is the generlization to (∞,1)-category theory of the concept of enriched functors in category theory.

Examples

• A spectral Mackey functor is an enriched $(\infty,1)$-functor, out of a Burnside category, enriched over the (∞,1)-category of spectra.

References

See the references at enriched (∞,1)-category.