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nLab > Latest Changes: weighted category

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1 to 6 of 6

  1.  
    • CommentRowNumber1.
    • CommentAuthorPaoloPerrone
    • CommentTimeJan 19th 2025

    For now creating page, more content to be added.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 19th 2025

    So like a kind of locally graded category but with a lax composition?

    • CommentRowNumber3.
    • CommentAuthorPaoloPerrone
    • CommentTimeJan 19th 2025

    A little like a decategorification thereof, I feel. (But I don’t know if I can make this precise.)

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 20th 2025
    • (edited Jan 20th 2025)

    [Removed]. I see now what you meant in #3.

    • CommentRowNumber5.
    • CommentAuthorvarkor
    • CommentTimeJan 22nd 2025
    • (edited Jan 22nd 2025)

    Added an alternative definition in terms of enriched categories, which clarifies the relationship to locally graded categories (namely, locally graded categories generalise weighted/normed categories).

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 23rd 2025
    • (edited Jan 23rd 2025)

    Added that characterization of the enriching category as a free coproduct completion to section 4.

    diff, v7, current

1 to 6 of 6

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