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Partial square at ω₁ is implied by MM but not by PFA

Hiroshi Sakai — 2011

Fundamenta Mathematicae

We prove the results stated in the title.

Semiproper ideals

Hiroshi Sakai — 2005

Fundamenta Mathematicae

We say that an ideal I on $_{κ} λ$ is semiproper if the corresponding poset $ℙ_{I}$ is semiproper. In this paper we investigate properties of semiproper ideals on $_{κ} λ$ .

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