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Apr 8, 2018 at 22:15 comment added Michael Albanese Another way to see that $f^*E$ is trivial is that its classifying map $E \to BG$ factors through $EG$ which is contractible.
Apr 8, 2018 at 21:30 vote accept CommunityBot
Apr 8, 2018 at 21:08 history answered Sasha CC BY-SA 3.0