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Analytic Hausdorff gaps II: The density zero ideal
Authors:Ilijas Farah
Institution:(1) Department of Mathematics and Statistics, York University, 4700 Keele Street, M3J 1P3 Toronto, ON, Canada;(2) Matematicki Institut, Kneza Mihaila 35, Belgrade, Serbia and Montenegro
Abstract:We prove two results about the quotient over the asymptotic density zero ideal. First, it is forcing equivalent to 
$$\mathcal{P}\left( \mathbb{N} \right)/Fin * \mathcal{R}_c $$
% MathType!End!2!1!, where 
$$\mathcal{P}\left( \mathbb{N} \right)/\mathcal{I}$$
% MathType!End!2!1! is the homogeneous probability measure algebra of characterc. Second, if it has analytic Hausdorff gaps, then they look considerably different from proviously known gaps of this form. Partially supported by NSERC.
Keywords:
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