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Degrees of rigidity for Souslin trees
Journal of Symbolic Logic 74 (2):423-454 (2009)
Abstract
We investigate various strong notions of rigidity for Souslin trees, separating them under ♢ into a hierarchy. Applying our methods to the automorphism tower problem in group theory, we show under ♢ that there is a group whose automorphism tower is highly malleable by forcingAuthor's Profile
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Citations of this work
Algebraicity and Implicit Definability in Set Theory.Joel David Hamkins & Cole Leahy - 2016 - Notre Dame Journal of Formal Logic 57 (3):431-439.
Recognizable sets and Woodin cardinals: computation beyond the constructible universe.Merlin Carl, Philipp Schlicht & Philip Welch - 2018 - Annals of Pure and Applied Logic 169 (4):312-332.
Forcing the Π 3 1 -reduction property and a failure of Π 3 1 -uniformization.Stefan Hoffelner - 2023 - Annals of Pure and Applied Logic 174 (8):103292.
Club degrees of rigidity and almost Kurepa trees.Gunter Fuchs - 2013 - Archive for Mathematical Logic 52 (1-2):47-66.
On the rigidity of Souslin trees and their generic branches.Hossein Lamei Ramandi - 2022 - Archive for Mathematical Logic 62 (3):419-426.
References found in this work
Changing the heights of automorphism towers.Joel David Hamkins & Simon Thomas - 2000 - Annals of Pure and Applied Logic 102 (1-2):139-157.
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