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Jan 3, 2016 at 5:51 comment added Qiaochu Yuan @Saal: yes, that's right.
Jan 2, 2016 at 23:22 comment added Saal Hardali I've just discovered (during reading an $n$-lab thread) that $EG$ is a fibrant replacement for $*$ in the pullback diagram of the principal bundle. So the homotopy fiber of the classifying map is the principal bundle. Am I understanding this correctly?
Dec 1, 2015 at 21:55 history answered Qiaochu Yuan CC BY-SA 3.0