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nLab > Latest Changes: compactum

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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 2nd 2020

    Added the characterization of CompComp as the unique non-trivial pretopos which is well-pointed, filtral and admits all set-indexed copowers of its terminal object from

    • Vincenzo Marra, Luca Reggio, A characterisation of the category of compact Hausdorff spaces, (arXiv:1808.09738)

    diff, v25, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 2nd 2020

    Added a comment by Marra and Reggio comparing their characterization of CompComp with ETCS as differing about the existence of infinite discrete objects.

    diff, v26, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 2nd 2020

    Added Lurie’s ultracategory characterization.

    diff, v26, current

    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 24th 2021
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 20th 2023

    added pointer to:

    diff, v29, current

    • CommentRowNumber6.
    • CommentAuthorShamrock
    • CommentTimeSep 25th 2023
    The page says "The monadic definition, in particular, falls quite flat without some form of the axiom of choice; even excluded middle and COSHEP are powerless here". What precisely is meant by this? My understanding was that independence of the full axiom of choice from ZF + PAx was an open problem.

1 to 6 of 6

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