The Banach-Ruziewicz Problem
The second central problem of this book is presented in this chapter. This is the Banach-Ruziewicz problem (known also as the Ruziewicz problem), which asks whether the Lebesgue measure λ is the only finitely additive measure defined on the Lebesgue subsets of the n-dimensional sphere S n , invariant under the group of rotations O(n + 1) and with total measure one.
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