The existence of an inverse limit of an inverse system of measure spaces -- a purely measurable case
The existence of an inverse limit of an inverse system of (probability) measure spaces has been investigated since the very beginning of modern probability theory. All such results, however, call for some topological concepts, or at least the ones which are closely related to topological ones. In this paper, the author investigates purely measurable inverse systems of (probability) measure spaces and gives a sufficient condition for the existence of a unique inverse limit. An example is also given.
purely measurable inverse system of measure spaces
scientific article; zbMATH DE number 5848577
scientific article