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math.LO2016★ 4 cited
The Halpern-Läuchli Theorem at a Measurable Cardinal
Natasha Dobrinen, Dan Hathaway
Several variants of the Halpern-Läuchli Theorem for trees of uncountable height are investigated. For weakly compact, we prove that the various statements are all equivalent. W…
math.LO2016
Bounding 2D Functions by Products of 1D Functions
François Dorais, Dan Hathaway
Given sets and a regular cardinal , let be the statement that for any function , there are functions and s…