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nLab > Latest Changes: normal morphism of infinity-groups

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 31st 2012
    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeFeb 2nd 2012
    in re: f:K→G is normal precisely if Bf:BK→BG is a principal ∞-bundle
    That's fine as a definition - how does one determine if
    Bf:BK→BG is a principal ∞-bundle in terms of conditions on f?
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 2nd 2012

    how does one determine if Bf:BK→BGB f : B K \to B G is a principal ∞-bundle in terms of conditions on ff?

    Matan provides a recognition principle for normal maps.

    But he tells me that you know this. So maybe I am misunderstanding your question. Could you say what it is beyond this that you are looking for?

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