On pairs of definable orthogonal families
classification
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keywords
familiesm-familyorthogonalanalyticcontaineddefinablehereditaryimplicitly
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We introduce the notion of an M-family of infinite subsets of $\nn$ which is implicitly contained in the work of A. R. D. Mathias. We study the structure of a pair of orthogonal hereditary families $\aaa$ and $\bbb$, where $\aaa$ is analytic and $\bbb$ is $C$-measurable and an M-family.
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