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Results tagged with classifying-spaces
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user 12605
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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Is this true of the frame bundle $\operatorname{Fr}(M)$?
There is a tiny confusion of language here. If you are talking about the orthonormal frame bundle you have a Riemannian manifold not just a manifold. The frame bundle has structure group $Gl_n(\math …
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