Sierpiński sets and strong first category
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- by Jakub Jasiński and Tomasz Weiss PDF
- Proc. Amer. Math. Soc. 111 (1991), 235-238 Request permission
Abstract:
We prove that if $S$ is a Sierpinski set and $N \subseteq \mathbb {R}$ is an ${F_\sigma }$ set of measure zero, then $(N + t) \cap S = \emptyset$ for some $t \in \mathbb {R}$. A similar result holds for generalized Sierpinski sets under Martin’s Axiom.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 235-238
- MSC: Primary 28A05; Secondary 04A15
- DOI: https://doi.org/10.1090/S0002-9939-1991-1039257-X
- MathSciNet review: 1039257