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    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeJul 15th 2011
    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeFeb 10th 2016

    Please check the tag: you have 5 tags for this entry axiom, choice, of, set, theory. I guess you did not mean tag “of”.

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeMay 23rd 2021

    Added a guess at what the “local” version of SCSA might say, with some remarks that this suffices for (at least “weak”) local smallness and cartesian closure of Cat anaCat_{ana}.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 23rd 2021

    Ooh, that’s good, thanks!

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 23rd 2021

    Updated Makkai reference to also point to the published version

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeMay 23rd 2021

    I wonder how SCSA is related to the axiom of stack completions. Are there implications either way?

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 24th 2021

    I’ve not seen any.