Abstract
We introduce the notion of an M-family of infinite subsets of $ℕ$ which is implicitly contained in the work of Mathias. We study the structure of a pair of orthogonal hereditary families $\mathcal{A}$ and $\mathcal{B}$, where $\mathcal{A}$ is analytic and $\mathcal{B}$ is $C$-measurable and a M-family.
Citation
Pandelis Dodos. Vassilis Kanellopoulos. "On pairs of definable orthogonal families." Illinois J. Math. 52 (1) 181 - 201, Spring 2008. https://doi.org/10.1215/ijm/1242414127
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