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Stationary and closed rainbow subsets
Annals of Pure and Applied Logic 172 (2):102887 (2021)
Abstract
We study the structural rainbow Ramsey theory at uncountable cardinals. Compared to the usual rainbow Ramsey theory, the variation focuses on finding a rainbow subset that not only is of a certain cardinality but also satisfies certain structural constraints, such as being stationary or closed in its supremum. In the process of dealing with cardinals greater than ω1, we uncover some connections between versions of Chang's Conjectures and instances of rainbow Ramsey partition relations, addressing a question raised in [18].Author's Profile
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References found in this work
Aronszajn trees and the independence of the transfer property.William Mitchell - 1972 - Annals of Mathematical Logic 5 (1):21.
Some Results in Polychromatic Ramsey Theory.Uri Abraham, James Cummings & Clifford Smyth - 2007 - Journal of Symbolic Logic 72 (3):865 - 896.
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