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.
Combinato- rial properties of MAD families.Canadian Journal of Mathematics, pages 1–69
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.LO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.