论文标题
Loeb扩展和LOEB等价
Loeb Extension and Loeb Equivalence
论文作者
论文摘要
在Keisler and Sun（2004）中，作者在各种内部概率空间之间就勒布等价提出了几个开放问题。我们为前两个开放问题提供反例。此外，我们将第三个开放问题减少到以下问题：两个LOEB等效的内部代数产生的内部代数是否是任何一个内部代数的LOEB扩展的子集？
In Keisler and Sun (2004), the authors raise several open problems on Loeb equivalences between various internal probability spaces. We provide counter-examples for the first two open problems. Moreover, we reduce the third open problem to the following question: Is the internal algebra generated by the union of two Loeb equivalent internal algebras a subset of the Loeb extension of any one of the internal algebra?
