nLab (2,1)-presheaf



2-Category theory

(,1)(\infty,1)-Topos Theory

(∞,1)-topos theory

structures in a cohesive (∞,1)-topos



A (2,1)-presheaf is a presheaf with values in the (2,1)-category Grpd. A 2-truncated (∞,1)-presheaf.

Sometimes this is also called a prestack. Other times a prestack is more specifically taken to be a separated (2,1)-presheaf: a (2,1)(2,1)-presheaf such that the functors into its descent objects are full and faithful functors.

The ∞-stackification of a (2,1)(2,1)-presheaf is a certain 2-sheaf or stack.

Last revised on May 4, 2021 at 19:30:04. See the history of this page for a list of all contributions to it.