Degrees of rigidity for Souslin trees
Logic
2016-08-16 v1
Abstract
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.
Cite
@article{arxiv.math/0602482,
title = {Degrees of rigidity for Souslin trees},
author = {Joel David Hamkins and Gunter Fuchs},
journal= {arXiv preprint arXiv:math/0602482},
year = {2016}
}
Comments
33 pages