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arxiv: 1612.04170 · v1 · pith:ODIVPYEFnew · submitted 2016-12-13 · 🧮 math.LO

Filter-Laver Measurability

classification 🧮 math.LO
keywords filter-lavermillerarnoldarxivdichotomydual-filter-laverenablesforcing
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We study sigma-ideals and regularity properties related to the "filter-Laver" and "dual-filter-Laver" forcing partial orders. An important innovation which enables this study is a dichotomy theorem proved recently by Miller [1]. [1] Arnold Miller, "Hechler and Laver Trees", Preprint 2012 (arXiv:1204.5198 [math.LO]).

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