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    • CommentRowNumber1.
    • CommentAuthorjesuslop
    • CommentTimeNov 11th 2017

    Hi, correct me if wrong but when learning about the Category of Elements, I think the projection is in reality a (discrete) op-fibration instead of a fibration. It’s the outgoing morphisms from the base of the fiber that are lifted.

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeNov 11th 2017

    Ah, yes, the idea section is mixing up the category of elements of a covariant functor (which is a discrete opfibration) with that of a contravariant functor (which is a discrete fibration).

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTime6 days ago

    Fixed there. Did you see it anywhere else?

    • CommentRowNumber4.
    • CommentAuthorjesuslop
    • CommentTime6 days ago

    Thanks! No that I know of.