A descriptive version of Ambrose's representation theorem for flows
type: Item
instance of: scholarly article
title: A descriptive version of Ambrose's representation theorem for flows
zbMATH Open document ID: 0669.28008
DOI: 10.1007/BF02863630
author: V. M. Wagh
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
review text: This paper is part of the program of studying which results from ergodic theory on measure spaces can be obtained in measurable spaces without a measure. The author obtains (largely by the argument of Ambrose) a version of the Ambrose representation theorem for flows. A consequence of the theorem is that every jointly measurable flow on a standard Borel space is a flow of homeomorphisms on a complete separable metric space.
Mathematics Subject Classification ID: 28D10
Mathematics Subject Classification ID: 54H20
zbMATH DE Number: 4095818
zbMATH Keywords: flow under a function
zbMATH Keywords: ergodic theory without measure
zbMATH Keywords: ergodic theory on measure spaces
zbMATH Keywords: Ambrose representation theorem for flows
zbMATH Keywords: jointly measurable flow
reviewed by: Ulrich Krengel
MaRDI profile type: Publication
cites work: Kolmogorov Automorphisms on Homogeneous Spaces
cites work: Darstellungssätze für Strömungen und Halbströmungen. II
cites work: Q3198052
cites work: Measurable group actions are essentially Borel actions
cites work: Measurable dynamics
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description: scientific article; zbMATH DE number 4095818