Hiroshi Sakai

collaborators

2 papers

math.LO2026

On $2$ -stationarity of $P_{I^} º I^»$

Hiroshi Sakai, M. Catalina Torres

The notion of $n$ -stationary subsets of $P_{I^} º I^»$ for $n < I ¨ $ were introduced and studied by Cody, Lambie-Hanson \& Zhang \cite{CLHZ} and Torres \cite{T}. They proved tha…

math.LO2025

Separating Subversion Forcing Axioms

Hiroshi Sakai, Corey Bacal Switzer

We study a family of variants of Jensen's\emph{subcomplete forcing axiom}, $SCFA$ and \emph{subproper forcing axiom}, $SubPFA$ . Using these we develop a general t…

On 2-stationarity of PI^​ºI^»

Separating Subversion Forcing Axioms

On $2$ -stationarity of $P_{I^} º I^»$