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Results tagged with classifying-spaces
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user 492799
The classifying space BG of a group G classifies principal G-bundles, in that homotopy classes of maps [X, BG] are naturally identified with isomorphism classes of principal G-bundles P ⭢ X.
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Reduction of structure group and classifying spaces
To begin, I should mention that the proof of this equivalence is convincingly sketched in Stephen A. Mitchell's "Notes on principal bundles and classifying spaces", see Theorem 10.1 on page 18.
Howeve …
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