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nLab > Latest Changes: Banach-Tarski paradox

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 28th 2018
    • (edited Oct 28th 2018)

    a stub, for the moment just so as to record pointer to Simpson 12 where “resolution of the paradox” is claimed to be achieved simply by passing from topological spaces to locales

    v1, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeOct 28th 2018

    I’ve long been thinking about creating such an article, but this is one of 1001 such in my case. A note to self is that I believe weaker choice principles are involved, and the exact fact of the matter is of interest not only to those who have a “fetish” about choice principles. For example, there’s a whole subject of amenable group theory that needs to be addressed.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 17th 2021

    added pointer to:

    diff, v4, current

  4. Clarified the language

    Bartosz Milewski

    diff, v5, current

  5. Added a comment and a reference about Olivier Leroy notes from 1995 on measure theory with locales mentioning Banach-Tarski.

    Sidney Congard

    diff, v7, current

1 to 5 of 5

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