TY - JOUR
T1 - On splitting trees
AU - LAGUZZI, Giorgio
AU - Mildenberger, Heike
AU - Stuber-Rousselle, Brendan
N1 - Publisher Copyright:
© 2023 The Authors. Mathematical Logic Quarterly published by Wiley-VCH GmbH.
PY - 2023
Y1 - 2023
N2 - 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 (Formula presented.).
AB - 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 (Formula presented.).
UR - https://iris.uniupo.it/handle/11579/153180
U2 - 10.1002/malq.202200022
DO - 10.1002/malq.202200022
M3 - Article
SN - 0942-5616
JO - Mathematical Logic Quarterly
JF - Mathematical Logic Quarterly
ER -