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6
votes
0
answers
197
views
Is hypercompletion functorial?
Given an infinity topos $\mathcal{E}$, one can pass to its hypercompletion $\widehat{\mathcal{E}}$, which is the full subcategory on those objects local with respect to $\infty$-connected morphisms (m …
8
votes
0
answers
841
views
Which sites in classical/derived algebraic geometry are hypercomplete?
Local questions:
1) Given a commutative ring $A,$ is $Sh_\infty\left(Spec(A)\right)$ hypercomplete?
2) Given a commutative ring $A,$ is $Sh_\infty\left(Et\left(A\right)\right)$ hypercomplete, where …
10
votes
2
answers
1k
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Canonical topology for infinity topoi revisited.
A while ago I asked this quetion: Canonical topology for big infinity topoi
and this question: How to resolve size issues with the regular epimorphism topology
Let me first summarize some of what I …