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The reference to Quick’s profinite homotopy theory here at pro-homotopy theory may not be well placed. The methods that Quick uses are not that derived from the pro-homotopy set up although I think I can show that one can derive his structure as a localization of a particular case of Isaksen’s. (Actually the published version and the version linked to here have an incomplete set of generators for the fibrations. He included a patch in a later paper. There are a load of errors of a minor nature in that linked paper as far as I can see and filling in the gaps is not always trivial, although I have yet to find any non-patchable slip.) His idea is elegant and his method almost works except for those slips! I will make some adjustments to the entry, but please check them out as with the new results on pro-étale stuff coming through this could be important.
I added this references a few minutes back while in discussion with somebody, not to forget the pointer. Would have come back to it now, but good that you have seen it already and are taking care of it.
I have been looking at his work to include a fuller version in that monograph that I am preparing, so I know it well. I have updated some of the related entries as well.
Okay, thanks!
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