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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 4th 2013

    some basics at spherical fibration

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 30th 2019

    added pointer to

    diff, v9, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 19th 2019

    Added something on the classifying space for spherical fibrations.

    diff, v10, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 19th 2019
    • (edited Jun 19th 2019)

    In more modern language and more generally, FF-fiber infinity-bundles are classified by the delooping BAut(F)B Aut(F) of the automorphism infinity-group of F. For F=S nF =S^n this gives the classifying space for nn-spherical fibrations.

    The canonical inclusion O(n+1)Aut(S n)O(n+1) \hookrightarrow Aut(S^n) picks the subspace of twists coming from the J-,homomorphism.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 20th 2019

    Ok, we could update like that, but why were they using the H-spaces, G nG_n, that’s I guess what you call Map(S n1,S n1)Map(S^{n-1}, S^{n-1}), rather than Aut(S n)Aut(S^n), the monoid rather than the group?

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