Abstract
Let κ = 2ω, and assume \(f:\mathbb {R}\rightarrow \mathcal {P}(\mathbb {R})\) satisfies the intersection properties C(ω,κ) and C(κ,ω). We prove that if \(\mathfrak {r}<\text {cf}(\kappa )\) then there exists a dense free set for f.
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Garti, S. Dense Free Sets. Order 33, 411–417 (2016). https://doi.org/10.1007/s11083-015-9375-7
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DOI: https://doi.org/10.1007/s11083-015-9375-7