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  1. Different cofinalities of tree ideals.Saharon Shelah & Otmar Spinas - 2023 - Annals of Pure and Applied Logic 174 (8):103290.
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  • On splitting trees.Giorgio Laguzzi, Heike Mildenberger & Brendan Stuber-Rousselle - 2023 - Mathematical Logic Quarterly 69 (1):15-30.
    We investigate two variants of splitting tree forcing, their ideals and regularity properties. We prove connections with other well‐known notions, such as Lebesgue measurablility, Baire‐ and Doughnut‐property and the Marczewski field. Moreover, we prove that any absolute amoeba forcing for splitting trees necessarily adds a dominating real, providing more support to Hein's and Spinas' conjecture that.
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