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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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$R^{c}$ is not almost Lindelöf


Authors: J. H. B. Kemperman and Dorothy Maharam
Journal: Proc. Amer. Math. Soc. 24 (1970), 772-773
MSC: Primary 54.40; Secondary 28.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0253285-X
MathSciNet review: 0253285
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Abstract | Similar Articles | Additional Information

Abstract: It is shown that there exists a Baire measure $\mu$ on ${R^c}$ such that ${R^c}$ can be covered by elementary open $\mu$-null sets.


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Additional Information

Keywords: Baire measure, uncountable product space, Lindelöf, elementary open set
Article copyright: © Copyright 1970 American Mathematical Society