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Is this question acceptable?: Fundamental group functor and left adjoints

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    • CommentAuthordavidac897
    • CommentTimeOct 16th 2012
     
    http://mathoverflow.net/questions/109779/is-the-fundamental-group-functor-a-left-adjoint

    In response, I want to ask a question about whether etale and *other* fundamental group functors (e.g. motivic, Tannakian in general) can be viewed as left adjoints.

    Both, I might want to ask about the existence of such things in multiple cases and if there is any generality to such a construction.
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    Mathematical questions are always welcome on MO!!! The trap with general question is that they may be too vague. If you keep it specific enough that there is a sufficiently clear answer path (though not a clear answer) all should work fine. (Answers can deviate from the path, but questions with too many open paths often lead to troubles...)

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    There's certainly no question in my mind that the level is right for MO, if that's what you're wondering.

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