On $d$-finite tuples in random variable structures
Volume 221 / 2013
Fundamenta Mathematicae 221 (2013), 221-230
MSC: Primary 03C90; Secondary 03C98, 60B99.
DOI: 10.4064/fm221-3-2
Abstract
We prove that the $d$-finite tuples in models of $\mathsf {ARV}$ are precisely the discrete random variables. Then, we apply $d$-finite tuples to the work by Keisler, Hoover, Fajardo, and Sun concerning saturated probability spaces. In particular, we strengthen a result in Keisler and Sun's recent paper.
