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nLab > Latest Changes: change of enriching category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2018

    add your favourite redirect!

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2018

    added the example of poly-morphisms: here

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 22nd 2018

    What’s going on with the second point in ’Properties’? Is it just referring back to the first point, so the adjunction between SetSet and KK gives rise to a 2-adjunction between categories enriched over them?

    Since it’s referring to something not present, was the intention to say something earlier on the underlying category construction generated by K(I,−):K→SetK(I, -): K \to Set?

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2018

    That’s half-way copying the material from enriched category – change of enriching category. I am out of time now, please complete if you have a minute.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 22nd 2018

    Ok, have tried to complete that.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeDec 22nd 2018

    Moved “underlying” example to “Examples” section.

    diff, v5, current

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeDec 22nd 2018

    Added a bunch of generalizations.

    diff, v5, current

    • CommentRowNumber8.
    • CommentAuthorMike Shulman
    • CommentTimeDec 22nd 2018

    I added a bunch more examples.

    diff, v5, current

    • CommentRowNumber9.
    • CommentAuthorMike Shulman
    • CommentTimeDec 22nd 2018

    Thanks for making this page!

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2018

    And thanks for adding material!

    • CommentRowNumber11.
    • CommentAuthorGuest
    • CommentTimeOct 10th 2022
    >A different generalization is when V is a bicategory, yielding bicategory-enriched categories. Any lax functor of bicategories induces a similar functor between its 2-categories of enriched categories.

    Is there a reference for this fact?

  12. Fix dead link to Cruttwell’s thesis

    Nick Hu

    diff, v8, current

1 to 12 of 12

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