On the $1-1$ sum of two Borel sets
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- by Richard B. Darst
- Proc. Amer. Math. Soc. 25 (1970), 914
- DOI: https://doi.org/10.1090/S0002-9939-1970-0263638-1
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Abstract:
It is shown that there exists a Borel subset $B$ of the real line and a homeomorphism $\phi$ of the real line such that the set $\{ x - \phi (x);x \in B\}$ is not a Borel set.References
- Paul Erdös and Arthur H. Stone, On the sum of two Borel sets, Notices Amer. Math. Soc. 16 (1969), 968-969. Abstract #69T-B175.
- R. Purves, Bimeasurable functions, Fund. Math. 58 (1966), 149–157. MR 199339, DOI 10.4064/fm-58-2-149-157
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 25 (1970), 914
- MSC: Primary 04.40
- DOI: https://doi.org/10.1090/S0002-9939-1970-0263638-1
- MathSciNet review: 0263638