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I have finally created a stub entry for universal principal bundle (which used to redirect to universal principal infinity-bundle ).
I added a line about a universal numerable bundle, which is what the usual constructions actually give you.
Also, could we change this line: “such that for every CW-complex X the map….” to refer to paracompact spaces? This is the sort of result one sees in nonabelian cohomology (I’m happy to make said change if so)
Sure.
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