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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 2nd 2020

    added publication data to:

    diff, v11, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 2nd 2020

    added pointer to

    diff, v11, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 19th 2021

    Added references:

    A comprehensive five-volume treatise (with a sixth volume forthcoming) is

    A more concise two-volume treatise is

    A classical (slightly dated) concise treatise is

    • Paul Halmos, Measure Theory, D. Van Nostrand Company, 1950.

    • Donald L. Cohn, Measure Theory, Birkhäuser, 1980. ISBN: 3-7643-3003-1

    diff, v12, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 28th 2021

    added pointer to:

    (thanks to David’s comment here)

    and am copying this also to Boolean topos

    diff, v14, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 28th 2021

    The original post by Tao seems to chime with your ’random as reader monad’ idea.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 28th 2021

    Thanks for the pointer. Hm, that’s a long text (with a weird but also truncated graphics on top?).

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 28th 2021

    Jamneshan poses a question to the audience at 1:02:20 in his talk about relating external constructions to internal ones. Is that something to do with working in the slice over the base measure space Ω\Omega?

    • CommentRowNumber8.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 3rd 2024


    Categories of measure theory

    From the nPOV, it is desirable to have a good category for measure theory.

    The article categories of measure theory provides evidence that the category of compact strictly localizable enhanced measurable spaces captures the desired features of measure theory as presented in common textbooks on real analysis.

    diff, v16, current

    • CommentRowNumber9.
    • CommentAuthorRodMcGuire
    • CommentTimeMay 4th 2024
    • (edited May 4th 2024)