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Creatures on ω1 and weak diamonds
Published online by Cambridge University Press: 12 March 2014
Abstract
We specialise Aronszajn trees by an ωω-bounding forcing that adds reals. We work with creature forcings on uncountable spaces.
As an application of these notions of forcing, we answer a question of Moore, Hrušák and Džamonja whether implies the existence of a Souslin tree in a negative way by showing that “
and every Aronszajn tree is special” is consistent relative to ZFC.
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- Research Article
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- Copyright © Association for Symbolic Logic 2009
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