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math.LO2026
Fragments of SRP, the nonstationary ideal, and diagonal reflection
Gunter Fuchs, Hiroshi Sakai
We investigate the relationships between fragments of SRP and diagonal reflection principles. It turns out that the subcomplete fragment of SRP, augmented with CH, implies that the…
math.LO2026
An extension of Subcomplete Forcing Axiom which implies
Hiroshi Sakai
We prove that the Subcomplete Forcing Axiom is consistent with .
math.LO2026
On -stationarity of
Hiroshi Sakai, M. Catalina Torres
The notion of -stationary subsets of for were introduced and studied by Cody, Lambie-Hanson \& Zhang \cite{CLHZ} and Torres \cite{T}. They proved that i…