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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMar 8th 2012
• (edited Mar 8th 2012)

I have added to (infinity,2)-sheaf a section Examples - Codomain fibration / canonical (∞,2)-sheaf with the statement that for $\mathcal{X}$ an $(\infty,1)$-topos, the $\infty$-functor

$A \mapsto \mathcal{X}_{/A}$

is always an $(\infty,2)$-sheaf with respect to the canonical topology.

(It’s the $(\infty,2)$-sheaf of “unstable quasicoherent $(\infty,1)$-sheaves”!)

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeFeb 10th 2016
• (edited Feb 10th 2016)

Chris Kapulking kindly points out to me that somebody has finally written down the “local Joyal model structure” on simplicial presheaves, I have added a pointer here: Meadows 15