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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 25th 2021

    Mentioned Pos.

    diff, v13, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 25th 2021
    • (edited Aug 25th 2021)

    then best to have a list including also the less exotic examples. Have now started one here.

    Also adjusted your line to include pointer to (0,1)-category, in order to bring out the pattern.

    And I adjusted the (old) paragraph now right before this list of examples, for generality and hyperlinking.

    diff, v14, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 25th 2021

    Can we guess what makes a (1,2)(1,2)-topos differ from an ordinary topos from the case of Pos? It contains an object which does what \bottom \to \top does in Pos, i.e., classifying something?

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeAug 25th 2021

    Classifying sieves = monic fibrations.