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I brushed up the entry power a bit: wrote an Idea-section, created an Examples-section etc.
I have added (here) a section “Powering of $\infty$-toposes over $\infty$-groupoids” with some basic statements and their elementary proofs.
This is for completeness, as other entries keep trying to refer to this without having a good page to point to (e.g. categorical homotopy groups in an (infinity,1)-topos).
But also, this deserves to be stated elsewhere, such as at (infinity,1)-topos. So I think I’ll make it an !include
-page powering of ∞-toposes over ∞-groupoids – section.
Will also add some comments about cohesion now, but first to get a coffee now.
Thanks for catching this (another remnant “:=
” which is not being properly rendered on the nLab). Another way to fix this by using “\coloneqq
” instead.
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