Club degrees of rigidity and almost Kurepa trees
نویسنده
چکیده
A highly rigid Souslin tree T is constructed such that forcing with T turns T into a Kurepa tree. Club versions of previously known degrees of rigidity are introduced, as follows: for a rigidity property P , a tree T is said to have property P on clubs if for every club set C (containing 0), the restriction of T to levels in C has property P . The relationships between these rigidity properties for Souslin trees are investigated, and some open questions are stated.
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ورودعنوان ژورنال:
- Arch. Math. Log.
دوره 52 شماره
صفحات -
تاریخ انتشار 2013