Weakly dense subsets of the measure algebra
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- by Maxim R. Burke PDF
- Proc. Amer. Math. Soc. 106 (1989), 867-874 Request permission
Abstract:
We introduce the notion of the weak density of a Boolean algebra and show that for homogeneous measure algebras it coincides with the density (=least size of a coinitial set). From this we obtain a partial lifting of the measure algebra of $\left [ {0,1} \right ]$ of minimal size which does not extend to a lifting. It also follows that the $\pi$-character of each point and the $\pi$-weight are the same for the Stone space of a homogeneous measure algebraReferences
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 867-874
- MSC: Primary 28A51; Secondary 06E99, 54A25
- DOI: https://doi.org/10.1090/S0002-9939-1989-0961402-3
- MathSciNet review: 961402