Additivity of measure implies additivity of category
Author:
Tomek Bartoszyński
Journal:
Trans. Amer. Math. Soc. 281 (1984), 209-213
MSC:
Primary 03E05; Secondary 04A20, 28A99
DOI:
https://doi.org/10.1090/S0002-9947-1984-0719666-7
MathSciNet review:
719666
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper it is proved that 
-additivity of category follows from 
-additivity of measure, and a combinatorial characterization of additivity of measure is found.
- [1] Arnold W. Miller, Some properties of measure and category, Trans. Amer. Math. Soc. 266 (1981), no. 1, 93–114. MR 613787, https://doi.org/10.1090/S0002-9947-1981-0613787-2
- [2] Arnold W. Miller, Additivity of measure implies dominating reals, Proc. Amer. Math. Soc. 91 (1984), no. 1, 111–117. MR 735576, https://doi.org/10.1090/S0002-9939-1984-0735576-9
Retrieve articles in Transactions of the American Mathematical Society with MSC: 03E05, 04A20, 28A99
Retrieve articles in all journals with MSC: 03E05, 04A20, 28A99
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1984-0719666-7
Article copyright:
© Copyright 1984
American Mathematical Society
