Abstract
The almost disjointness number is extended to arbitrary Boolean algebras and it is shown that this number is consistently less than $\mathfrak a$ for the Boolean algebra $\mathcal {P} (\mathbb{N})/ \mathcal {N}$ where $\mathcal {N}$ is the ideal of nowhere dense subsets of $\mathbb{Q}.
Citation
Juris Steprāns. "The Almost Disjointness Cardinal Invariant in the Quotient Algebra of the Rationals Modulo the Nowhere Dense Subsets." Real Anal. Exchange 27 (2) 795 - 800, 2001/2002.
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