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nLab > Latest Changes: basis theorem

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  1. added context

    Anonymous

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeOct 27th 2022

    Added citation to Blass’ paper

    diff, v10, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 27th 2022

    I have replaced

      a result of [[Andreas Blass]], proved in 1984).

    with

      [Blass (1984)](#Blass84)

    diff, v11, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 26th 2023
    • (edited Aug 26th 2023)

    added pointer to an early (the earliest?, in any case eponymous) application of the basis theorem:

    • Georg Hamel, pp. 460 in: Eine Basis aller Zahlen und die unstetigen Lösungen der Funktionalgleichung: f(x+y)=f(x)+f(y)f(x + y) = f(x) + f(y), Mathematische Annalen 60 (1905) 459–462 [doi:10.1007/BF01457624]

    (Hamel applies it to find a basis for the real numbers regarded as a rational vector space and uses not directly Zorn’s lemma but the well-ordering theorem).

    diff, v12, current

1 to 4 of 4

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