Preserving σ-ideals

Journal of Symbolic Logic 63 (4):1437-1441 (1998)
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Abstract

It is proved consistent that there be a proper σ-ideal ℑ on ω 1 and an ℵ 1 -preserving poset P such that $\mathbb{P} \Vdash$ the σ-ideal generated by ℑ̌ is not proper

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10.2307/2586660

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