Additivity of measure implies additivity of category

Bartoszyński, Tomek

doi:10.1090/S0002-9947-1984-0719666-7

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Additivity of measure implies additivity of category
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by Tomek Bartoszyński PDF

Trans. Amer. Math. Soc. 281 (1984), 209-213 Request permission

Abstract:

In this paper it is proved that ${2^\omega }$-additivity of category follows from ${2^\omega }$-additivity of measure, and a combinatorial characterization of additivity of measure is found.

References

Arnold W. Miller, Some properties of measure and category, Trans. Amer. Math. Soc. 266 (1981), no. 1, 93–114. MR 613787, DOI 10.1090/S0002-9947-1981-0613787-2
Arnold W. Miller, Additivity of measure implies dominating reals, Proc. Amer. Math. Soc. 91 (1984), no. 1, 111–117. MR 735576, DOI 10.1090/S0002-9939-1984-0735576-9