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I have added the page Rezk completion (homotopytypetheory) which gives us a lot of links to fill. I will pretty much try and add all of chapter 9 to the wiki but I welcome any help. Note that there is an (indexing) page Category theory in HoTT (homotopytypetheory) so make sure to add it there.
I wonder whether the page Category theory in HoTT (homotopytypetheory) should be just called “category theory”, since it is already in the HoTT wiki so that part might be understood?
Then should we rename Homotopy theory in HoTT (homotopytypetheory) to “homotopy theory” as well?
I have renamed “Category Theory in HoTT” to Category theory (homotopytypetheory) as Mike says. Also I think the Category theory page will change form but for now it should just index.
Re #3, maybe, or maybe we should call it “synthetic homotopy theory”, since that seems to be the common name for homotopy theory in HoTT (it merits something of a different name since it is much more different from classical homotopy theory than even category theory is).
I’ve renamed it to Synthetic homotopy theory (homotopytypetheory) now.
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