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nLab > Latest Changes: nuclear adjunction

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    • CommentRowNumber1.
    • CommentAuthorvarkor
    • CommentTimeMay 4th 2022

    Created a stub for nuclear adjunctions.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 6th 2022

    So this idea arises from the ’nucleus of an adjunction’. We also have nucleus of a profunctor as the center of an associated adjunction. What, if any, is the connection?

    • CommentRowNumber3.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Add terminology “bimonadic adjunction” and a reference.

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Add a reference to Monads of effective descent type and comonadicity.

    diff, v2, current

    • CommentRowNumber5.
    • CommentAuthorvarkor
    • CommentTimeApr 23rd 2023

    Spell out the construction of the canonical nuclear adjunction a little more.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTimeApr 23rd 2023

    Re. #2:

    So this idea arises from the ’nucleus of an adjunction’. We also have nucleus of a profunctor as the center of an associated adjunction. What, if any, is the connection?

    I recall Pavlovic and Hughes implying there is a connection, but leave it for future work to explicate. My understanding is that their more recent paper Tight limits and completions from Dedekind-MacNeille to Lambek-Isbell is an instantiation of more abstract theory that makes use of this connection. But it’s a little hard to be certain from the way they present the concepts.

    • CommentRowNumber7.
    • CommentAuthorvarkor
    • CommentTimeOct 7th 2023

    Add another reference.

    diff, v5, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeFeb 11th 2024

    Added a paper of Frei and MacDonald.

    diff, v7, current

1 to 8 of 8

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