Adding small sets to an $\textbf {N}$-set
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- by Zuzana Bukovská and Lev Bukovský PDF
- Proc. Amer. Math. Soc. 123 (1995), 3867-3873 Request permission
Abstract:
Pseudo Dirichlet and N-sets are small sets of reals defined in the theory of trigonometric series. We prove that by adding a set of cardinality smaller than $\mathfrak {p}$ to an N-set one obtains again an N-set. This is a strengthening of Arbault-Erdös’ theorem about adding countable sets to N-sets. A similar result holds true for pseudo Dirichlet sets.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3867-3873
- MSC: Primary 04A15; Secondary 03E05, 03E15, 03E50, 04A20, 42A99, 43A46
- DOI: https://doi.org/10.1090/S0002-9939-1995-1285977-5
- MathSciNet review: 1285977