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math.LO2025
Comparing forcing approaches to dense ideals
Monroe Eskew
We analyze some posets involved in forcing constructions for dense ideals, showing that the Anonymous Collapse and the Dual Shioya Collapse are equivalent for collapsing a large ca…
math.CO2025
Colors of the Pseudotree
David Chodounský, Monroe Eskew, Thilo Weinert
We investigate big Ramsey degrees of finite substructures of the universal countable homogeneous meet-tree and its binary variant. We prove that structures containing antichains ha…