nLab
(2,1)sheafification
Contents
Context
$(\infty,1)$Topos Theory
(∞,1)topos theory

elementary (∞,1)topos

(∞,1)site

reflective sub(∞,1)category

(∞,1)category of (∞,1)sheaves

(∞,1)topos

(n,1)topos, ntopos

(∞,1)quasitopos

(∞,2)topos

(∞,n)topos

hypercomplete (∞,1)topos

over(∞,1)topos

nlocalic (∞,1)topos

locally nconnected (n,1)topos

structured (∞,1)topos

locally ∞connected (∞,1)topos, ∞connected (∞,1)topos

local (∞,1)topos

cohesive (∞,1)topos
structures in a cohesive (∞,1)topos
Contents
Idea
The higher analogue of sheafification.
A stack/2sheaf 2topos on a site/2site $C$ is
$St(C) \stackrel{\overset{L}{\leftarrow}}{\hookrightarrow} PSt(C)
\,.$
The left adjoint $L$ to the inclusion of stacks into all 2functors on $C^{op}$ is stackification .
Last revised on April 16, 2023 at 13:56:13.
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