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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 Set and K 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→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

  1.