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nLab > Latest Changes: Scott adjunction

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  1. Creating a new page on this topic

    Ivan

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 16th 2025
    • (edited May 16th 2025)

    I have touched the formatting, added publication data to two of the bibitems, and reformatted the references to them in the style “Author Year”, equipped with an internal hyperlink.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 16th 2025

    That reminds me, the work of Di Liberti speaks about the Scott adjunction in relation to a categorified Isbell duality. That confused me at the time because it doesn’t correspond to our Isbell duality. I got as far as pointing out the ambiguity here. It seems that Isbell duality in the current sense concerns a duality between frames with enough points and sober spaces.

    Probably worth some disambiguation.

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 16th 2025

    So there is a disambiguating remark at the top of Isbell duality, but there remains the question of whether there should be a page for the other ’Isbell duality’. It’s possible that the latter is the more common meaning use anyway.

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