On splitting trees

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

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch
Notes
Mathematical logic quarterly, 69 (2023), 1, 15-30. https://doi.org/10.1002/malq.202200022, ISSN: 1521-3870

Event
Veröffentlichung
(where)
Freiburg
(who)
Universität
(when)
2023

DOI
10.1002/malq.202200022
URN
urn:nbn:de:bsz:25-freidok-2371320
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
25.03.2025, 1:47 PM CET

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Associated

Time of origin

  • 2023

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