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  1. 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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  • Generalized Silver and Miller measurability.Giorgio Laguzzi - 2015 - Mathematical Logic Quarterly 61 (1-2):91-102.
    We present some results about the burgeoning research area concerning set theory of the “κ‐reals”. We focus on some notions of measurability coming from generalizations of Silver and Miller trees. We present analogies and mostly differences from the classical setting.
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  • Full-splitting Miller trees and infinitely often equal reals.Yurii Khomskii & Giorgio Laguzzi - 2017 - Annals of Pure and Applied Logic 168 (8):1491-1506.
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  • Social welfare relations and irregular sets.Ram Sewak Dubey & Giorgio Laguzzi - 2023 - Annals of Pure and Applied Logic 174 (9):103302.
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