Abstract
We prove that the strong polarized relation \({\left(\begin{array}{ll} 2^\mu\\ \mu \end{array}\right)\rightarrow \left(\begin{array}{ll} 2^\mu\\ \mu \end{array}\right)^{1,1}_2}\) is consistent with ZFC. We show this for \({\mu = \aleph _0}\) , and for every supercompact cardinal μ. We also characterize the polarized relation below the splitting number.
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Research supported by the United States-Israel Binational Science Foundation. Publication 964 of the second author.
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Garti, S., Shelah, S. Strong Polarized Relations for the Continuum. Ann. Comb. 16, 271–276 (2012). https://doi.org/10.1007/s00026-012-0130-0
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DOI: https://doi.org/10.1007/s00026-012-0130-0