The nonexistence of “liftings” for arithmetic density
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- by H. Weizsäcker PDF
- Proc. Amer. Math. Soc. 86 (1982), 692-693 Request permission
Abstract:
P. Erdös, answering a question of D. Maharam, proved that arithmetic density as a set function does not admit an analogue of measure theoretic liftings [1, Theorem 4]. Here we give a quick proof of this which works in a slightly more general situation.References
- Dorothy Maharam, Finitely additive measures on the integers, Sankhyā Ser. A 38 (1976), no. 1, 44–59. MR 473132
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 692-693
- MSC: Primary 28A51; Secondary 10K99, 10L10
- DOI: https://doi.org/10.1090/S0002-9939-1982-0674107-7
- MathSciNet review: 674107