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    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeFeb 28th 2023

    Idea

    A generalization of Waldhausen K-theory to dualizable dg-categories and dualizable stable ∞-categories.

    For compactly generated inputs, recovers the Waldhausen K-theory of the full subcategory of compact objects.

    The formalism is applicable to λ\lambda-presentable stable ∞-categories, where λ\lambda can be uncountable (for example, various categories of sheaves, or categories occurring in functional analysis).

    References

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 18th 2024

    Added a reference: Nikolaus.

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMar 19th 2024

    according to the pdf itself, Nikolaus is not the only author:

    No?

    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 20th 2024

    Re #3: It’s a course by Thomas Nikolaus. But probably both should be listed as authors of lecture notes, since this is what is being cited.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 21st 2024

    Added

    and will add to his page.

    Interesting, the analogy he describes between dualizable categories and compact Hausdorff spaces in Appendix F.

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 21st 2024

    I see Efimov has a typo in his title. Assuming he’ll fix this soon, I’ll change it.