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Timeline for Dense (∞,1)-subsites

Current License: CC BY-SA 3.0

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Mar 5, 2017 at 2:45 comment added Denis Nardin @MarcHoyois Augh, I think I knew that counterexample once... I did not realize that a basis of a topology is an example of this, although it is obvious.
Mar 5, 2017 at 1:38 comment added Karthik Yegnesh @MarcHoyois Great, I'd accept this as an answer.
Mar 5, 2017 at 1:16 comment added Marc Hoyois @Denis It doesn't actually. The typical example is there's a basis of the topology on the Hilbert cube with a different ∞-category of sheaves. @ Karthik There are some sufficient conditions in Lemma C.3 in my paper math.mit.edu/~hoyois/papers/lefschetz.pdf. They're not very satisfying because they require existence of some pullbacks, but they suffice in many situations.
Mar 4, 2017 at 23:23 comment added Denis Nardin I will be extremely surprised if the same condition doesn't work for ∞-sites, but I cannot find a reference.
Mar 4, 2017 at 14:28 history asked Karthik Yegnesh CC BY-SA 3.0