On well-splitting posets

We introduce a class of proper posets which is preserved under countable support iterations, includes ω ω -bounding, Cohen, Miller, and Mathias posets associated to filters with the Hurewicz covering properties, and has the property that the ground model reals remain splitting and unbounded in corre...

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Veröffentlicht in:	Archive for mathematical logic 2022-11, Vol.61 (7-8), p.995-1005
Hauptverfasser:	Repovš, Dušan, Zdomskyy, Lyubomyr
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Mathematical Logic and Foundations Mathematics Mathematics and Statistics Set theory Splitting
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