Abstract
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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© 1994 Springer Basel AG
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Lubotzky, A. (1994). The Banach-Ruziewicz Problem. In: Discrete Groups, Expanding Graphs and Invariant Measures. Modern Birkhäuser Classics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0332-4_2
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DOI: https://doi.org/10.1007/978-3-0346-0332-4_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0346-0331-7
Online ISBN: 978-3-0346-0332-4
eBook Packages: Springer Book Archive