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Forcing indestructibility of MAD families
Annals of Pure and Applied Logic, 2005 Let A⊆[ω]ω be a maximal almost disjoint family and assume P is a forcing notion. Say A is P-indestructible if A is still maximal in any P-generic extension. We investigate P-indestructibility for several classical forcing notions P.
Jörg Brendle, Shunsuke Yatabe
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Indestructibility of Wholeness
Fundamenta Mathematicae, 2021By a celebrated theorem of Kunen, ZFC in incompatible with the existence of a non-trivial elementary embedding from the universe into itself. The wholeness axiom (WA) is an axiom schema that asserts the existence of a nontrivial elementary embedding from V to itself.
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Indestructibility, measurability, and degrees of supercompactness
Mathematical Logic Quarterly, 2012 Arthur W Apter
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Indestructibility, HOD, and the Ground Axiom
Mathematical Logic Quarterly, 2011 Arthur W Apter
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