Under ZF + CC_R, Ramsey property on a pointclass Γ implies no MAD families (or I-MAD for analytic ideals) in Γ, proving Mathias' conjecture, with parallel results for independent families and Vitali sets.
On the non-existence of mad families.Archive for Math- ematical Logic, 58(3):325–338
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Ramsey Property and Pathological Sets: Almost Disjointness, Independence and Other Maximal Objects
Under ZF + CC_R, Ramsey property on a pointclass Γ implies no MAD families (or I-MAD for analytic ideals) in Γ, proving Mathias' conjecture, with parallel results for independent families and Vitali sets.