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Showing 1 to 1 of 1 for “"partition rrelations"”.
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A Theory of Stationary Trees and the Balanced Baumgartner-Hajnal-Todorcevic Theorem for Trees
… We then use this theory to prove the following partition relation for trees: Main Theorem. Let κ be any infinite regular cardinal, let ξ be any ordinal such that 2|ξ| < κ, and let k be any natural number. Then non-(2 <κ)-special tree → (κ + ξ)(2/ k). This is a generalization to trees of the …