4 papers
Todorcevic's Problem on Rado's Conjecture
Monroe Eskew, Rahman Mohammadpour
In his Mostowski lecture in WrocÅaw in 2024, Stevo TodorÄeviÄ asked whether it is consistent that Rado's Conjecture holds at two successive cardinals. We show that it is consist…
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…
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…
Dense ideals
Monroe Eskew, Yair Hayut
In this paper, we obtain the consistency, relative to large cardinals, of the existence of dense ideals on every successor of a regular cardinal simultaneously. Using a consequent…