Degrees of rigidity for Souslin trees

Details Degrees of rigidity for Souslin trees Degrees of rigidity for Souslin trees

2006-02-22

arxiv.org/abs/math/0602482v1

Mathematics

Logic

33 pages

Scientific paper

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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