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Hechler's Theorem for tall analytic P-ideals
Published online by Cambridge University Press: 12 March 2014
Abstract
We prove the following version of Hechler's classical theorem: For each partially ordered set (Q, ≤) with the property that every countable subset of Q has a strict upper bound in Q, there is a ccc forcing notion such that in the generic extension for each tall analytic P-ideal (coded in the ground model) a cofinal subset of is order isomorphic to (Q, ≤).
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- Copyright © Association for Symbolic Logic 2011