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math.LO2023
Commutativity of Cofinal Types
Tom Benhamou
We continue the study of the pseudo-intersection property with respect to an ideal introduced in \cite{TomNatasha2}. Our theory applies to the study of the Tukey types of general s…
math.LO2023
A Small Ultrafilter Number at Every Singular Cardinal
Tom Benhamou, Sittinon Jirattikansakul
We obtain a small ultrafilter number at . Moreover, we develop a version of the overlapping strong extender forcing with collapses which can keep the top cardinal …