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Ruziewicz problem

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In mathematics, the Ruziewicz problem (sometimes Banach-Ruziewicz problem) in measure theory asks whether the usual Lebesgue measure on the n-sphere is characterised, up to proportionality, by its properties of being finitely additive, invariant under rotations, and defined on all Lebesgue measurable sets. This was answered affirmatively and independently for n ≥ 4 by Grigory Margulis and Dennis Sullivan around 1980, and for n = 2 and 3 by Vladimir Drinfeld (published 1984). It fails for the circle.The problem is named after Stanisław Ruziewicz.

Wikipedia Inglés http://en.wikipedia.org/wiki/Ruziewicz_problem

Wikipedia Español http://es.wikipedia.org/wiki/Ruziewicz_problem

Enlaces externos relacionado http://www.its.caltech.edu/~heeoh/compact.pdf