论文标题
关于GDST中的不可忽视的理论
On unsuperstable theories in GDST
论文作者
论文摘要
我们通过使用彩色树研究了完全一阶理论的同构关系的$κ$ - 纤维 - borel-可重新性。在某些基础性假设下,我们显示以下内容:对于所有理论T',如果T是可分类并且T'是不可思议的,那么T'模型的同构严格远远超过了T相对于$κ$ -Borborel-可重新确定的T型模型。
We study the $κ$-Borel-reducibility of isomorphism relations of complete first order theories by using coloured trees. Under some cardinality assumptions, we show the following: For all theories T and T', if T is classifiable and T' is unsuperstable, then the isomorphism of models of T' is strictly above the isomorphism of models of T with respect to $κ$-Borel-reducibility.