Degrees of rigidity for Souslin trees

Gunter Fuchs (Westf\"alische Wilhelms-Universit\"at M\"unster); Joel David Hamkins (The City University of New York)

arxiv: math/0602482 · v1 · pith:ABLHD7UQnew · submitted 2006-02-22 · 🧮 math.LO

Degrees of rigidity for Souslin trees

Joel David Hamkins (The City University of New York) , Gunter Fuchs (Westf\"alische Wilhelms-Universit\"at M\"unster) This is my paper

classification 🧮 math.LO

keywords automorphismdiamondgrouprigiditysouslintowertreesunder

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We investigate various strong notions of rigidity for Souslin trees, separating them under Diamond into a hierarchy. Applying our methods to the automorphism tower problem in group theory, we show under Diamond that there is a group whose automorphism tower is highly malleable by forcing.

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Degrees of rigidity for Souslin trees

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