How special is your Aronszajn tree?

Mathematics – Logic

Scientific paper

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Scientific paper

The following is consistent: There is a stationary set S such that every
Aronszajn tree is S-*-special and there is an Aronszajn tree T such that for
every unbounded E we have T is not E-special. This answers a question of Shelah
(Proper and Improper Forcing, IX.4.9(5).

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