On the rigidity of Souslin trees and their generic branches

We show it is consistent that there is a Souslin tree S such that after forcing with S , S is Kurepa and for all clubs C ⊂ ω 1 , S ↾ C is rigid. This answers the questions in Fuchs (Arch Math Logic 52(1–2):47–66, 2013). Moreover, we show it is consistent with ♢ that for every Souslin tree T there is...

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Veröffentlicht in:	Archive for mathematical logic 2023-05, Vol.62 (3-4), p.419-426
1. Verfasser:	Lamei Ramandi, Hossein
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Mathematical Logic and Foundations Mathematics Mathematics and Statistics Questions
Online-Zugang:	Volltext
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