Dense Free Sets |
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Authors: | Shimon Garti |
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Institution: | 1.Institute of Mathematics,The Hebrew University of Jerusalem,Jerusalem,Israel |
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Abstract: | Let κ = 2 ω , 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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