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APAL
2005

Forcing indestructibility of MAD families

13 years 3 months ago
Forcing indestructibility of MAD families
Let A [] 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. In particular, we provide a combinatorial characterization of P-indestructibility and, assuming a fragment of MA, we construct maximal almost disjoint families which are P-indestructible yet Q-destructible for several pairs of forcing notions (P, Q). We close with a detailed investigation of iterated Sacks indestructibility.
Jörg Brendle, Shunsuke Yatabe
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where APAL
Authors Jörg Brendle, Shunsuke Yatabe
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