On splitting trees

Giorgio LAGUZZI, Heike Mildenberger, Brendan Stuber-Rousselle

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

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.).

Lingua originaleInglese
RivistaMathematical Logic Quarterly
DOI
Stato di pubblicazionePubblicato - 2023

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