Analytic Hausdorff gaps II: The density zero ideal |
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Authors: | Ilijas Farah |
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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 |
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Abstract: | We prove two results about the quotient over the asymptotic density zero ideal. First, it is forcing equivalent to
% MathType!End!2!1!, where
% 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. |
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