The existence of an inverse limit of an inverse system of measure spaces -- a purely measurable case
type: Item
instance of: scholarly article
title: The existence of an inverse limit of an inverse system of measure spaces -- a purely measurable case
zbMATH Open document ID: 1224.60066
author: Sumit K. Garg
published in: Acta Mathematica Hungarica
publication date: 2011-02-08T00:00:00Z
full work available at URL: AMH2009.pdf
review text: 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.
reviewed by: Marius Iosifescu
Mathematics Subject Classification ID: 60G05
Mathematics Subject Classification ID: 60G20
zbMATH DE Number: 5848577
zbMATH Keywords: purely measurable inverse system of measure spaces
zbMATH Keywords: inverse limit
zbMATH Keywords: Kolmogorov's extension theorem
MaRDI profile type: Publication
OpenAlex ID: W2072870504
cites work: Interactive epistemology. II: Probability
cites work: Q3229718
cites work: Q5565097
cites work: Hierarchies of beliefs and common knowledge
cites work: Inverse Limits of Measure Spaces
cites work: Games with Incomplete Information Played by “Bayesian” Players, I–III Part I. The Basic Model
cites work: The Bayesian formulation of incomplete information. The non-compact case
cites work: Topology-free typology of beliefs
cites work: Q3238703
cites work: Limits of inverse systems of measures
cites work: Formulation of Bayesian analysis for games with incomplete information
cites work: Limites projectives de mesures. Martingales. Applications
cites work: Inverse systems of group-valued measures
cites work: Q5821521
cites work: Type space on a purely measurable parameter space
DOI: 10.1007/S10474-009-8248-1
description: scientific article; zbMATH DE number 5848577