Changing the heights of automorphism towers by forcing with Souslin trees over L
Changing the heights of automorphism towers by forcing with Souslin trees over L
复制标题
通过在 L 上强制使用苏斯林树来改变自同构塔的高度
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
J. Hamkins
中科院分区：
文献类型：
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作者：
G. Fuchs;J. Hamkins
摘要我们证明了在可构造的宇宙中存在一些群，它们的自同构塔在强迫作用下是高度可塑的。这是一个事实的后果，即在一个合适的钻石假设，有足够多的高度刚性的非同构的苏斯林树，其同构关系可以精确地控制强迫。
Abstract We prove that there are groups in the constructible universe whose automorphism towers are highly malleable by forcing. This is a consequence of the fact that, under a suitable diamond hypothesis, there are sufficiently many highly rigid non-isomorphic Souslin trees whose isomorphism relation can be precisely controlled by forcing.