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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Invariant ideals and Borel sets
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by Andrzej Pelc PDF
Proc. Amer. Math. Soc. 97 (1986), 503-506 Request permission

Abstract:

We investigate the size of the algebra $\mathcal {B}(I)$, where $\mathcal {B}$ is the family of Borel sets and $I$ is a translation invariant ideal of sets of reals. In particular the question whether $\mathcal {B}(I)$ can contain Vitali selectors or even all sets of reals is discussed in connection with the completeness of $I$ and its invariance.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 503-506
  • MSC: Primary 04A15; Secondary 03E05, 28A05
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0840637-1
  • MathSciNet review: 840637