The nonexistence of certain invariant measures
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- by Paul Erdős and R. Daniel Mauldin PDF
- Proc. Amer. Math. Soc. 59 (1976), 321-322 Request permission
Abstract:
It is shown that there does not exist an uncountable group $G$ and a nontrivial, $\sigma$-finite, countably additive measure defined on all subsets of $G$ which is left-invariant.References
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- A. Iwanik, On infinite complete algebras, Colloq. Math. 29 (1974), 195–199, 307. MR 335397, DOI 10.4064/cm-29-2-195-199 S. M. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. 16 (1930), 141-150.
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 321-322
- MSC: Primary 28A70
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412390-0
- MathSciNet review: 0412390